Dover Books on Physics
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The Laminar Boundary Layer Equations
by N. Curle
Part of the Dover Books on Physics series
A thorough introduction to the study of boundary layer problems in physics and fluid mechanics, this treatment assumes some knowledge of classical inviscid fluid dynamics. The ordered and logical presentation is accessible to undergraduates, and professionals will benefit from the careful expositions of the limitations and accuracy of various methods. An extensive introduction explains the boundary-layer concept and demonstrates its simplification of equations of viscous flow. Successive chapters address various aspects of solution in incompressible flow, starting with analytic solutions of the velocity field and advancing to discussions of high-accuracy numerical solutions, practical methods of calculation, and an analysis of factors that might govern the choice of a method. Several chapters on the compressible laminar boundary layer include examinations of pressure gradient and heat transfer, followed by a brief exploration of some aspects of the problem of the interaction between shock waves and laminar boundary layers. Complete references and a helpful Index conclude the text.
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Wave Propagation in a Random Medium
by Lev A. Chernov
Part of the Dover Books on Physics series
This monograph by a prominent Russian expert was a ground-breaking contribution to the literature on the theory of wave propagation in randomly inhomogeneous media. Since the publication of the first English translation in 1960, the systematic treatment has been widely used by scientists, engineers, and advanced undergraduate students in such fields as acoustics, radio-wave physics, and optics. The three-part treatment begins with a study of the problem of wave propagation using the ray approximation, followed by the second part's examination of the diffraction theory of wave propagation. The final part explores the question of how fluctuations in the incident wave affect the diffraction image formed by a focusing system, a question of considerable interest in hydro-acoustics and astronomical optics. Some of the theoretical deductions are compared with experimental data, and two appendixes contain more elaborate calculations. This edition serves as a companion volume to Wave Propagation in a Turbulent Medium, also available from Dover Publications.
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Non-Equilibrium Statistical Mechanics
by Ilya Prigogine
Part of the Dover Books on Physics series
Ilya Prigogine won the 1977 Nobel Prize in Chemistry for his contributions to non-equilibrium thermodynamics. This groundbreaking 1962 monograph, written for researchers and graduate students in this field, was his first book-length contribution to this subject. Suitable for advanced undergraduates and graduate students in physics and chemistry, the treatment begins with examinations of the Liouville equation, anharmonic solids, and Brownian motion. Subsequent chapters explore weakly coupled gases, scattering theory and short-range forces, distribution functions and their diagrammatic representation, the time dependence of diagrams, the approach to equilibrium in ionized gases, and statistical hydrodynamics. Additional topics include general kinetic equations, general H-theorem, quantum mechanics, and irreversibility and invariants of motion. Appendices, a bibliography, list of symbols, and an index conclude the text.
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Perturbation Theory and the Nuclear Many Body Problem
by Kailash Kumar
Part of the Dover Books on Physics series
This introductory treatment begins with an overview of the basic ideas of perturbation theory, addressing the conditions under which the theory may be set up and the various forms of perturbation expansions. Subsequent chapters explore diagrammatic methods in terms of linked cluster theorem and general formulas as well as rearrangement methods. Techniques of solving the t-matrix equation and other equations that arise in the nuclear many body problem are examined in terms of approximate methods, and the intuitive reasoning behind each of them is given. The text's final chapter collects other methods of approaching the many body problem and shows how they may be compared with those of previous chapters. Suitable for advanced undergraduates and graduate students, this volume features many helpful citations to literature on the subject, and a list of main symbols has been appended to each chapter for easy reference.
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Exactly Solved Models in Statistical Mechanics
by Rodney J. Baxter
Part of the Dover Books on Physics series
This text explores two-dimensional lattice models in statistical mechanics and illustrates methods for their solution. Comprehensive but concise, it indicates the routes between equations without superfluous details. Author R. J. Baxter is a fellow of the Royal Society of London and the Australian Academy of Science, as well as Emeritus Professor of the Mathematical Sciences Institute at Australian National University, Canberra. Professor Baxter has updated this edition with a new chapter covering recent developments. Starting with a survey of basic statistical mechanics, the treatment proceeds to examinations of the one-dimensional Ising model, the mean field model, the Ising model on the Bethe lattice, and the spherical model. Subsequent chapters address duality and star-triangle transforms of planar Ising models, the square-lattice Ising model, ice-type models, and the square lattice eight-vertex model. Additional topics include the Kagomé lattice eight-vertex model, Potts and Ashkin-Teller models, Corner transfer matrices, hard hexagon and related models, and elliptic functions. Seventy-six figures illuminate the text.
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Quantum Theory of Scattering
by Ta-you Wu
Part of the Dover Books on Physics series
This volume addresses the broad formal aspects and applications of the quantum theory of scattering in atomic and nuclear collisions. An encyclopedic source of pioneering work, it serves as a text for students and a reference for professionals in the fields of chemistry, physics, and astrophysics. The self-contained treatment begins with the general theory of scattering of a particle by a central field. Subsequent chapters explore particle scattering by a non-central field, collisions between composite particles, the time-dependent theory of scattering, and nuclear reactions. An examination of dispersion relations concludes the text. Numerous graphs, tables, and footnotes illuminate each chapter, in addition to helpful appendixes and bibliographies.
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Linear Integral Equations
by William Vernon Lovitt
Part of the Dover Books on Physics series
Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, the calculus of variations, and special areas in mathematical physics. Topics include the solution of Fredholm's equation expressed as a ratio of two integral series in lambda, free and constrained vibrations of an elastic string, and auxiliary theorems on harmonic functions. Discussion of the Hilbert-Schmidt theory covers boundary problems for ordinary linear differential equations, vibration problems, and flow of heat in a bar. 1924 edition.
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Notes on the Quantum Theory of Angular Momentum
by Eugene Feenberg
Part of the Dover Books on Physics series
Informative review considers the development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include the computation and application of matrix elements of scalar, vector, and tensor operators for deriving useful relations in the theory of magnetic moments, electric quadruple moments, and dipole transition probabilities.
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Concepts of Classical Optics
by John Strong
Part of the Dover Books on Physics series
An intermediate course in optics, this volume explores both experimental and theoretical concepts, offering practical knowledge of geometrical optics that will enhance students' comprehension of any relevant applied science. Its exposition of the concepts of classical optics is presented with a minimum of mathematical detail but presumes some knowledge of calculus, vectors, and complex numbers. Subjects include light as wave motion; superposition of wave motions; electromagnetic waves; interaction of light and matter; velocities and scattering of light; polarized light and dielectric boundaries; double refraction; and the interference of two sources laterally separated. Additional topics cover Fresnel and Fraunhofer diffraction; coherent sources separated in depth; applications of physical optics; images of points by single surfaces and by systems of surfaces; magnification, aperture, and field; and image defects. Illustrative problems appear throughout the text, assuring students of an opportunity to attain a full understanding of the material. The appendixes feature short topics of lively research interest that can be used simply for reference or formally incorporated by the instructor into the course.
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Primer of Quantum Mechanics
by Marvin Chester
Part of the Dover Books on Physics series
What does quantum mechanics tell us about the key model physical systems of nature? The author of this highly regarded text explores this question in a conceptual manner, fusing mathematical and philosophical elements to present physical imagery that closely parallels the mathematics. Beginning with an overview that discusses the premise and design for the study, the text proceeds with an examination of the classical quantum bead on a track: its states and representations; its measurement spectra as operator eigenvalues; the harmonic oscillator: bound bead in a symmetric force field; and the bead in a spherical shell. Other topics include spin, matrices, and the structure of quantum mechanics; the simplest atom; indistinguishable particles; and stationary-state perturbation theory. Geared toward upper-level undergraduate students in physics, this refreshing and instructive text requires the following background: a freshman-year survey course in physics, a first course in classical Newtonian mechanics, and a grasp of mathematics that encompasses integral calculus, vector analysis, differential equations, complex numbers, and Fourier analysis.
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Brownian Movement and Molecular Reality
by Jean Perrin
Part of the Dover Books on Physics series
How do we know that molecules really exist? An important clue came from Brownian movement, a concept developed in 1827 by botanist Robert Brown, who noticed that tiny objects like pollen grains shook and moved erratically when viewed under a microscope. Nearly 80 years later, in 1905, Albert Einstein explained this "Brownian motion" as the result of bombardment by molecules. Einstein offered a quantitative explanation by mathematically estimating the average distance covered by the particles over time as a result of molecular bombardment. Four years later, Jean Baptiste Perrin wrote Brownian Movement and Molecular Reality, a work that explains his painstaking measurements of the displacements of particles of a resin suspended in water-experiments that yielded average displacements in excellent accord with Einstein's theoretical prediction. The studies of Einstein and Perrin provided some of the first concrete evidence for the existence of molecules. Perrin, whose name is familiar to all who employ his methods for calculations in molecular dynamics, received the 1926 Nobel Prize in physics. In this classic paper, he introduced the concept of Avogadro's number, along with other groundbreaking work. Originally published in the French journal Annates de chimie et de physique, it was translated into English by Frederick Soddy to enduring influence and acclaim.
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Quantum Mechanics With Applications
by David B. Beard
Part of the Dover Books on Physics series
This introductory text emphasizes Feynman's development of path integrals and its application to wave theory for particles. Suitable for undergraduate and graduate students of physics, the well-written, clear, and rigorous text was written by two of the nation's leading authorities on quantum physics. A solid foundation in quantum mechanics and atomic physics is assumed. Early chapters provide background in the mathematical treatment and particular properties of ordinary wave motion that also apply to particle motion. The close relation of quantum theory to physical optics is stressed. Subsequent sections emphasize the physical consequences of a wave theory of material properties, and they offer extensive applications in atomic physics, nuclear physics, solid state physics, and diatomic molecules. Four helpful Appendixes supplement the text.
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Theories of Figures of Celestial Bodies
by Wenceslas S. Jardetzky
Part of the Dover Books on Physics series
Suitable for upper-level undergraduates and graduate students, this text explores the most exact methods used in the theory of figures of equilibrium. It also examines problems concerning the figures of celestial bodies, including invariable or varying figures, zonal rotation, systems composed of fluid and rigid parts, and more. 1958 edition.
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Problems in Quantum Mechanics
by D. ter Haar
Part of the Dover Books on Physics series
A wide-ranging collection of problems and solutions related to quantum mechanics, this text will be useful to students pursuing an advanced degree in physics. Topics include one-dimensional motion, tunnel effect, commutation relations, Heisenberg relations, spreading of wave packets, operators, angular momentum, spin, central field of force, motion of particles in a magnetic field, atoms, scattering, creation and annihilation operators, density matrix, relativistic wave equations, and many other subjects. Suitable for advanced undergraduates and graduate students of physics, this third edition was edited by Dirk ter Haar, a Fellow of Magdalen College and Reader in Theoretical Physics at the University of Oxford. This enlarged and revised edition includes additional problems from Oxford University Examination papers. The book can be used either in conjunction with another text or as advanced reading for anyone familiar with the basic ideas of quantum mechanics. 1975 edition.
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Treatise on Thermodynamics
by Max Planck
Part of the Dover Books on Physics series
This classic by the Nobel Laureate is still recognized as one of the best introductions to thermodynamics. A model of conciseness and clarity, it covers fundamental facts and definitions, first and second fundamental principles of thermodynamics, applications to special states of equilibrium, and much more. Numerous worked examples. 1917 edition.
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Philosophic Foundations of Quantum Mechanics
by Hans Reichenbach
Part of the Dover Books on Physics series
Written by an internationally renowned philosopher, this volume offers a three-part philosophical interpretation of quantum physics. The first part reviews the basics of quantum mechanics; the second outlines the mathematical methods of quantum mechanics; and the third section develops a variety of interpretations of quantum mechanics. 1944 edition.
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Physics and Music
The Science of Musical Sound
by Harvey E. White
Part of the Dover Books on Physics series
This foundational text is written for students who want to go beyond the perceptual stage of music to learn how musical sound is created and perceived. It surveys a wide range of topics related to acoustics, beginning with a brief history of the art and science of music. Succeeding chapters explore the general principles of sound, musical scales, the primary ways in which sound can be generated, the characteristics of instruments, the use of mechanical and electronic recording devices, hi-fi stereophonic and quadraphonic sound, the design of electronic musical instruments, and architectural acoustics. Comprehensive yet accessible, Physics and Music includes over 300 diagrams, photographs, and tables. Each chapter concludes with questions, problems, and projects, in addition to references for further study. 1980 edition.
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The Geometry of Kerr Black Holes
by Barrett O'Neill
Part of the Dover Books on Physics series
This unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self-contained treatment constitutes an introduction to modern techniques in differential geometry. The text begins with a substantial chapter offering background on the mathematics needed for the rest of the book. Subsequent chapters emphasize physical interpretations of geometric properties such as curvature, geodesics, isometries, totally geodesic submanifolds, and topological structure. Further investigations cover relativistic concepts such as causality, Petrov type, optical scalars, and the Goldberg-Sachs theorem. Four helpful appendixes supplement the text.
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Dimensional Analysis
Examples of the Use of Symmetry
by Hans G. Hornung
Part of the Dover Books on Physics series
Derived from a course in fluid mechanics, this text for advanced undergraduates and beginning graduate students employs symmetry arguments to demonstrate the principles of dimensional analysis. The examples provided illustrate the effectiveness of symmetry arguments in obtaining the mathematical form of the functions yielded by dimensional analysis. Students will find these methods applicable to a wide field of interests. After discussing several examples of method, the text examines pipe flow, material properties, gasdynamical examples, body in nonuniform flow, and turbulent flow. Additional topics include waves on a free liquid surface, examples with other fluid properties, and ideal gas equations of state. Figures appear throughout the text, which concludes with a bibliography.
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Electrodynamics and Classical Theory of Fields and Particles
by A. O. Barut
Part of the Dover Books on Physics series
The first comprehensive treatment of relativistic electrodynamics, this volume remains essential reading. This graduate-level text was written by a distinguished theoretical physicist. It deftly reveals the classical underpinnings of modern quantum field theory with explorations of space-time, Lorentz transformations, conservation laws, equations of motion, Green's functions, and action-at-a-distance electrodynamics. 1964 edition.
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Noise and Fluctuations
An Introduction
by D. K. C. MacDonald
Part of the Dover Books on Physics series
An understanding of fluctuations and their role is both useful and fundamental to the study of physics. This concise study of random processes offers graduate students and research physicists a survey that encompasses both the relationship of Brownian Movement with statistical mechanics and the problem of irreversible processes. It outlines the basics of the physics involved, without the strictures of mathematical rigor. The three-part treatment starts with a general survey of Brownian Movement, including electrical Brownian Movement and "shot-noise," Part two explores correlation, frequency spectrum, and distribution function, with particular focus on application to Brownian Movement. The final section examines noise in electric currents, including noise in vacuum tubes and a random rectangular current. Frequent footnotes amplify the text, along with an extensive selection of Appendixes.
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Introduction to Fluid Dynamics
by Edward B. McLeod Jr.
Part of the Dover Books on Physics series
Concise, unified, and logical, this introduction to the study of the basic principles of fluid dynamics emphasizes the statement of problems in mathematical language. In addition to its value as a reference for professional engineers, this volume is suitable for advanced undergraduates and graduate students of mathematics and engineering. Some familiarity with the algebra of vector fields is assumed, and a useful appendix provides a succinct review of vector algebra. An introductory chapter covers fundamental notions from the continuum hypothesis to steady-state flow. Succeeding chapters explore conservation of mass, forces acting on a fluid in equilibrium, dynamic equations of motion, irrotational motion, integration of Euler's equation in special cases, and flows representable by harmonic functions. Additional topics include two dimensional flows, rectilinear vortices, general vortex motion, flows with a free boundary, and compressible fluids.
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The Electrical Properties of Metals and Alloys
by J. S. Dugdale
Part of the Dover Books on Physics series
Suitable for advanced undergraduate and graduate students of physics, this classic volume by a prominent authority in the field provides an account of some simple properties of metals and alloys associated with electron transport. Introductory chapters examine the bulk properties of electrical resistivity, the Hall coefficient, and thermoelectric power. Author J. S. Dugdale establishes a picture of the current-carrying state of a solid and the associated electron energy states before exploring how departures from crystal perfection scatter electrons. Static imperfections and lattice vibrations receive detailed explanations before the text advances to complex scattering. Emphasis on the behavior of real materials provides readers with a physical understanding of transport properties of transition metals, resistance, and thermoelectric anomalies in dilute magnetic alloys and transport in concentrated alloys and compounds.
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Classical Electromagnetism
by Jerrold Franklin
Part of the Dover Books on Physics series
This text advances from the basic laws of electricity and magnetism to classical electromagnetism in a quantum world. Suitable for first-year graduate students in physics who have taken an undergraduate course in electromagnetism, it focuses on core concepts and related aspects of math and physics. Progressing from the basic laws of electricity and magnetism and their unification by Maxwell and Einstein, the treatment culminates in a survey of the role of classical electromagnetism in a quantum world. Each stage of the theory is carefully developed in a clear and systematic approach that integrates mathematics and physics so that readers are introduced to the theory and learn the mathematical skills in context of real physics applications. Topics include methods of solution in electrostatics, Green's functions, electrostatics in matter, magnetism and ferromagnetism, electromagnetic waves in matter, special relativity, and the electrodynamics of moving bodies. Newly revised by author Jerrold Franklin, the book includes the new section Answers to Odd-Numbered Problems.
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The Theory of Linear Viscoelasticity
by D. R. Bland
Part of the Dover Books on Physics series
This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed individual sections present examples of stress-related problems. In addition, it explains procedures for model fitting to measured values of complex modulus or compliance. The text begins with an introduction to the concepts of viscoelasticity. Succeeding chapters explore the foundations of three-dimensional linear viscoelasticity and stress analysis. Sinusoidal oscillation problems, quasi-static problems, and dynamic problems receive particular attention. The final chapter examines model fitting to measured values of complex modulus or compliance. Numerous examples and figures illuminate the text.
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Solved Problems in Classical Electromagnetism
by Jerrold Franklin
Part of the Dover Books on Physics series
Solved Problems in Classical Electromagnetism is a valuable tool to help students learn to do physics while using concepts they learn in the courses. Students who are taking or have already taken an advanced EM course will find the book to be a useful adjunct to their textbook, giving added practice in applying what they are learning. For students who are taking an undergraduate EM course and want to get more depth, this book can help them achieve that aim and also help them prepare for graduate work. Beginning students, or those not even taking a course at the moment, can benefit from these problems and learn just from working on them with the help of the solutions. In each chapter, the problems start out relatively easy and then get progressively more advanced, helping students to go just as far as they can at their present level. The book includes a number of review sections to assist students without previous advanced training in working out the problems. The first review section is a comprehensive development of vector calculus that will prepare students to solve the problems and provide a strong foundation for their future development as physicists. The problems are drawn from the topics of electrostatics, magnetostatics, Maxwell's equations, electromagnetic radiation, and relativisitc electromagnetism.
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Physics of Fully Ionized Gases
by Lyman Spitzer
Part of the Dover Books on Physics series
This classic graduate-level volume was the first general but simple introduction to the fields of plasma and fusion research. Since its original publication in 1956, it has served as a valuable reference. Designed for those who have had an introductory course in theoretical physics but are otherwise unacquainted with the detailed kinetic theory of gases, it chiefly emphasizes macroscopic equations and their consequences. The contents are restricted to topics offering a theoretical understanding of plasma and fusion research. Subjects include the motion of a particle, macroscopic behavior of a plasma, waves in a plasma, equilibria and their stability, and encounters between changed particles. A helpful appendix offers background on the Boltzmann equation. Author Lyman Spitzer, Jr., was the first to propose the idea of placing a large telescope in space, and he was the driving force behind the development of the Hubble Space Telescope. Founder and director of Princeton's Plasma Physics Laboratory, a pioneering program in controlled thermonuclear research, Spitzer taught and inspired a generation of plasma physicists.
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Mathematical Methods for Physicists and Engineers
by Royal Eugene Collins
Part of the Dover Books on Physics series
Practical, readable text focuses on fundamental applied math needed by advanced undergraduates and beginning graduate students to deal with physics and engineering problems. Covers elementary vector calculus, special functions of mathematical physics, calculus of variations, and much more. Excellent self-contained study resource. 1968 edition.
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An Introduction to Statistical Thermodynamics
by Terrell L. Hill
Part of the Dover Books on Physics series
Although written on an introductory level, this wide-ranging text provides extensive coverage of topics of current interest in equilibrium statistical mechanics. Indeed, certain traditional topics are given somewhat condensed treatment to allow room for a survey of more recent advances. The book is divided into four major sections. Part I deals with the principles of quantum statistical mechanics and includes discussions of energy levels, states and eigenfunctions, degeneracy and other topics. Part II examines systems composed of independent molecules or of other independent subsystems. Topics range from ideal monatomic gas and monatomic crystals to polyatomic gas and configuration of polymer molecules and rubber elasticity. An examination of systems of interacting molecules comprises the nine chapters in Part Ill, reviewing such subjects as lattice statistics, imperfect gases and dilute liquid solutions. Part IV covers quantum statistics and includes sections on Fermi-Dirac and Bose-Einstein statistics, photon gas and free-volume theories of quantum liquids. Each chapter includes problems varying in difficulty - ranging from simple numerical exercises to small-scale "research" propositions. In addition, supplementary reading lists for each chapter invite students to pursue the subject at a more advanced level. Readers are assumed to have studied thermodynamics, calculus, elementary differential equations and elementary quantum mechanics. Because of the flexibility of the chapter arrangements, this book especially lends itself to use in a one-or two-semester graduate course in chemistry, a one-semester senior or graduate course in physics or an introductory course in statistical mechanics.
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The Electromagnetic Field
by Albert Shadowitz
Part of the Dover Books on Physics series
Directed to advanced undergraduates in physics or electrical engineering, this comprehensive text covers electric and magnetic fields, electromagnetic theory, and related topics, including relativity. Each section includes worked examples and 15 to 25 problems, with solutions for odd-number problems only.
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Green's Functions and Condensed Matter
by G. Rickayzen
Part of the Dover Books on Physics series
Green's functions, named for the mathematician who developed them in the 1830s, possess applications in many areas of physics. This volume presents the basic theoretical formulation, followed by specific applications, and is suitable for advanced undergraduates, graduate students, and professionals in the area of condensed matter physics. Beginning with a description of Green's function in classical physics from a modern point of view, the text progresses to the definition and properties of Green's functions in quantum physics. Most of the book explores applications, focusing on transport coefficients of a metal, the Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism. The treatment assumes a good working knowledge of quantum mechanics and a familiarity with the occupation number representation. An appendix provides the main formulas and the correspondence with wave mechanics. Each chapter concludes with references and problems for further study.
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Beta Decay for Pedestrians
by Harry J. Lipkin
Part of the Dover Books on Physics series
The "pedestrian approach" was developed to describe some essentially simple experimental results and their theoretical implications in plain language. In this graduate-level text, Harry J. Lipkin presents simply, but without oversimplification, the aspects of beta decay that can be understood without reference to the formal theory; that is, the reactions that follow directly from conservation laws and elementary quantum mechanics. The pedestrian treatment is neither a substitute for a complete treatment nor a watered-down version. Its derivation of results obtainable without the formal theory makes these results more understandable and less mysterious to those who have neither the time nor the inclination to master the details of the theory. On the other hand, those already acquainted with the formal theory will find in the pedestrian treatment a clear distinction between results dependent on the specific assumptions underlying the formal theory and those independent of these assumptions, which follow from simple general principles. Since peculiar experimental results are an ever-present possibility, it is always useful to have a simple method of evaluating challenges to theoretical assumptions or approximations.
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Geometry and Light
The Science of Invisibility
by Ulf Leonhardt
Part of the Dover Books on Physics series
The science of invisibility combines two of physics' greatest concepts: Einstein's general relativity and Maxwell's principles of electromagnetism. Recent years have witnessed major breakthroughs in the area, and the authors of this volume - Ulf Leonhardt and Thomas Philbin of Scotland's University of St. Andrews - have been active in the transformation of invisibility from fiction into science. Their work on designing invisibility devices is based on modern metamaterials, inspired by Fermat's principle, analogies between mechanics and optics, and the geometry of curved space. Suitable for graduate students and advanced undergraduates of engineering, physics, or mathematics, and scientific researchers of all types, this is the first authoritative textbook on invisibility and the science behind it. The book is two books in one: it introduces the mathematical foundations - differential geometry - for physicists and engineers, and it shows how concepts from general relativity become practically useful in electrical and optical engineering, not only for invisibility but also for perfect imaging and other fascinating topics. More than one hundred full-color illustrations and exercises with solutions complement the text.
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The Functions of Mathematical Physics
by Harry Hochstadt
Part of the Dover Books on Physics series
Comprehensive textbook provides both mathematicians and applied scientists with a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation. Lucid and useful presentations for anyone working in pure or applied mathematics or physics.
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Quantum Mechanics
New Approaches to Selected Topics
by Harry J. Lipkin
Part of the Dover Books on Physics series
This collection of self-contained studies is geared toward advanced undergraduates and graduate students. Its broad selection of topics includes the Mössbauer effect, many-body quantum mechanics, scattering theory, Feynman diagrams, and relativistic quantum mechanics. Author Harry J. Lipkin, a well-known teacher at Israel's Weizmann Institute, takes an unusual approach by introducing many interesting physical problems and mathematical techniques at a much earlier point than in conventional texts. This method enables students to observe the physical implications and useful applications of quantum theory before mastering the formalism in detail, and it provides them with new mathematical tools at an earlier stage for use in subsequent problems.
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Statistical Thermodynamics
by Erwin Schrodinger
Part of the Dover Books on Physics series
Nobel Laureate's brilliant attempt to develop a simple, unified standard method of dealing with all cases of statistical thermodynamics - classical, quantum, Bose-Einstein, Fermi-Dirac, and more.The work also includes discussions of Nernst theorem, Planck's oscillator, fluctuations, the n-particle problem, problem of radiation, much more.
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Physics of Waves
by William C. Elmore
Part of the Dover Books on Physics series
Ideal as a classroom text or for individual study, this unique one-volume overview of classical wave theory covers wave phenomena of acoustics, optics, electromagnetic radiations, and more. Topics include fundamentals, Bessel functions, waveguides, elasticity theory, hydrodynamic waves, and special phenomenon of wave diffraction. With problems.
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Problems in Quantum Mechanics
by V. I. Kogan
Part of the Dover Books on Physics series
Written by a pair of distinguished Soviet mathematicians, this compilation presents 160 lucidly expressed problems in nonrelativistic quantum mechanics plus completely worked-out solutions. Some were drawn from the authors' courses at the Moscow Institute of Engineering, but most were prepared especially for this book. A high-level supplement rather than a primary text, it constitutes a masterful complement to advanced undergraduate and graduate texts and courses in quantum mechanics. The mathematics employed in the proofs of the problems-asymptotic expansions of functions, Green's functions, use of different representation spaces, and simple limiting cases-are detailed and comprehensive. Virtually no space is devoted to the physical statements underlying the problems, since this is usually covered in books on quantum mechanics. Teachers and students will find this volume particularly valuable in terms of its advanced mathematics and detailed presentations, its coverage of scattering theory, and its helpful graphs and explanatory figures.
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Dynamic Light Scattering
With Applications to Chemistry, Biology, and Physics
by Bruce J. Berne
Part of the Dover Books on Physics series
Lasers play an increasingly important role in a variety of detection techniques, making inelastic light scattering a tool of growing value in the investigation of dynamic and structural problems in chemistry, biology, and physics. Until the initial publication of this work, however, no monograph treated the principles behind current developments in the field.This volume presents a comprehensive introduction to the principles underlying laser light scattering, focusing on the time dependence of fluctuations in fluid systems; it also serves as an introduction to the theory of time correlation functions, with chapters on projection operator techniques in statistical mechanics. The first half comprises most of the material necessary for an elementary understanding of the applications to the study of macromolecules, or comparable sized particles in fluids, and to the motility of microorganisms. The study of collective (or many particle) effects constitutes the second half, including more sophisticated treatments of macromolecules in solution and most of the applications of light scattering to the study of fluids containing small molecules.With its wide-ranging discussions of the many applications of light scattering, this text will be of interest to research chemists, physicists, biologists, medical and fluid mechanics researchers, engineers, and graduate students in these areas.
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Elementary Principles in Statistical Mechanics
by J. Willard Gibbs
Part of the Dover Books on Physics series
Written by J. Willard Gibbs, the most distinguished American mathematical physicist of the nineteenth century, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The lucid, advanced-level text remains a valuable collection of fundamental equations and principles. Topics include the general problem and the fundamental equation of statistical mechanics, the canonical distribution of the average energy values in a canonical ensemble of systems, and formulas for evaluating important functions of the energies of a system. Additional discussions cover maximum and minimal properties of distribution in phase, a valuable comparison of statistical mechanics with thermodynamics, and many other subjects.
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Quantum Theory of Fields
by Gregor Wentzel
Part of the Dover Books on Physics series
A prominent figure in twentieth-century physics, Gregor Wentzel made major contributions to the development of quantum field theory, first in Europe and later at the University of Chicago. His Quantum Theory of Fields offers a knowledgeable view of the original literature of elementary quantum mechanics and helps make these works accessible to interested readers. An introductory volume rather than an all-inclusive account, the text opens with an examination of general principles, without specification of the field equations of the Lagrange function. The following chapters deal with particular field types that, by means of quantization, are associated with particles of various spin, charge, and mass values. Topics include scalar fields, the vector meson field, quantum electrodynamics, and the quantization of the electron wave field according to the exclusion principle. Clear and coherent, this text presumes a familiarity with the fundamentals of elementary quantum mechanics, and particularly with Dirac's wave mechanics of spin-electrons.
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A First Look at Perturbation Theory
by James G. Simmonds
Part of the Dover Books on Physics series
Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter - the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
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Optical Resonance and Two-Level Atoms
by L. Allen
Part of the Dover Books on Physics series
A clear and comprehensive account of the basic principles involved in all quantum optical resonance phenomena, directed to graduate students and research physicists, and hailed in Contemporary Physics as "a valuable contribution to the literature of non-linear optics." 53 illustrations.
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Quantum Mechanics for Applied Physics and Engineering
by Albert T. Fromhold
Part of the Dover Books on Physics series
For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solid-state theory. A heavy background in mathematics and physics is not required beyond basic courses in calculus, differential equations, and calculus-based elementary physics. Numerous problems (and selected answers), projects, exercises.
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Introduction to Mathematical Fluid Dynamics
by Richard E. Meyer
Part of the Dover Books on Physics series
Fluid dynamics, the behavior of liquids and gases, is a field of broad impact that encompasses aspects of physics, engineering, oceanography, and meteorology. Full understanding demands fluency in higher mathematics, the only language of fluid dynamics. This introductory text is geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences. It assumes a knowledge of calculus and vector analysis. Author Richard E. Meyer notes, "This core of knowledge concerns the relation between inviscid and viscous fluids, and the bulk of this book is devoted to a discussion of that relation." Dr. Meyer develops basic concepts from a semi-axiomatic foundation, observing that such treatment helps dispel the common impression that the entire subject is built on a quicksand of assorted intuitions. His topics include kinematics, momentum principle and ideal fluid, Newtonian fluid, fluids of small viscosity, some aspects of rotating fluids, and some effects of compressibility. Each chapter concludes with a set of problems.
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Applications of Group Theory in Quantum Mechanics
by M. I. Petrashen
Part of the Dover Books on Physics series
Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.
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Thermodynamics and Statistical Mechanics
by Peter T. Landsberg
Part of the Dover Books on Physics series
Exceptionally articulate treatment combines precise mathematical style with strong physical intuition. Wide range of applications includes negative temperatures, negative heat capacities, special and general relativistic effects, black hole thermodynamics, gravitational collapse, more. Over 100 problems with worked solutions. Advanced undergraduate, graduate level. Table of applications. Useful formulas and other data.
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Theory of Relativity
by W. Pauli
Part of the Dover Books on Physics series
This classic work offers a concise and comprehensive review of the literature on relativity as of 1921, along with the author's insightful update of later developments in relativity theory and coverage of subsequent controversies. Special attention is given to unified field theories. 1958 edition.