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| methods of theoretical physics morse and feshbach: Methods of Theoretical Physics Philip McCord Morse, Herman Feshbach, 1953 |
| methods of theoretical physics morse and feshbach: Methods of Mathematical Physics Richard Courant, David Hilbert, 2008-09-26 Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961. |
| methods of theoretical physics morse and feshbach: Mathematics for Physicists Alexander Altland, Jan von Delft, 2019-02-14 This textbook is a comprehensive introduction to the key disciplines of mathematics - linear algebra, calculus, and geometry - needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating in-depth understanding and making even advanced mathematics tangible. The book guides the reader from high-school level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all odd-numbered problems. An online solutions manual for all even-numbered problems will be made available to instructors. |
| methods of theoretical physics morse and feshbach: Physical Mathematics Kevin Cahill, 2013-03-14 Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory. |
| methods of theoretical physics morse and feshbach: Mathematical Methods For Physics H. W. Wyld, 2018-03-14 This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms. |
| methods of theoretical physics morse and feshbach: A Course in Modern Mathematical Physics Peter Szekeres, 2004-12-16 This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today. |
| methods of theoretical physics morse and feshbach: Electromagnetic Theory of Gratings R. Petit, 2013-03-12 When I was a student, in the early fifties, the properties of gratings were generally explained according to the scalar theory of optics. The grating formula (which pre dicts the diffraction angles for a given angle of incidence) was established, exper imentally verified, and intensively used as a source for textbook problems. Indeed those grating properties, we can call optical properties, were taught'in a satisfac tory manner and the students were able to clearly understand the diffraction and dispersion of light by gratings. On the other hand, little was said about the energy properties, i. e. , about the prediction of efficiencies. Of course, the existence of the blaze effect was pointed out, but very frequently nothing else was taught about the efficiency curves. At most a good student had to know that, for an eche lette grating, the efficiency in a given order can approach unity insofar as the diffracted wave vector can be deduced from the incident one by a specular reflexion on the large facet. Actually this rule of thumb was generally sufficient to make good use of the optical gratings available about thirty years ago. Thanks to the spectacular improvements in grating manufacture after the end of the second world war, it became possible to obtain very good gratings with more and more lines per mm. Nowadays, in gratings used in the visible region, a spacing small er than half a micron is common. |
| methods of theoretical physics morse and feshbach: Mathematical Physics Sadri Hassani, 2002-02-08 For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained. |
| methods of theoretical physics morse and feshbach: Applied Mathematics Gerald D. Mahan, 2012-12-06 This volume is a textbook for a year-long graduate level course in All research universities have applied mathematics for scientists and engineers. such a course, which could be taught in different departments, such as mathematics, physics, or engineering. I volunteered to teach this course when I realized that my own research students did not learn much in this course at my university. Then I learned that the available textbooks were too introduc tory. While teaching this course without an assigned text, I wrote up my lecture notes and gave them to the students. This textbook is a result of that endeavor. When I took this course many, many, years ago, the primary references were the two volumes of P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953). The present text returns the contents to a similar level, although the syllabus is quite different than given in this venerable pair of books. |
| methods of theoretical physics morse and feshbach: Mathematical Methods for Physics and Engineering Mattias Blennow, 2018-01-03 Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions. |
| methods of theoretical physics morse and feshbach: Ethics Robin Attfield, 2012-04-05 A major new introduction to ethics, designed specifically to meet the needs of undergraduate students. |
| methods of theoretical physics morse and feshbach: Mathematics for Physicists Philippe Dennery, André Krzywicki, 2012-06-11 Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition. |
| methods of theoretical physics morse and feshbach: Course of Theoretical Physics L. D. Landau, E. M. Lifshitz, 2013-06-01 Course of Theoretical Physics, Volume 5: Statistical Physics, Third Edition, Part 1 covers the fundamental principles of statistical physics and thermodynamic quantities. The book discusses the Gibbs and Maxwellian distributions; the Boltzmann distribution for ideal gases; and the Fermi and Bose distributions. Solids are tackled with regard to their application of statistical methods of calculating the thermodynamic quantities. The book describes the deviations of gases from the ideal state, conditions of phase equilibrium, solutions, and chemical reactions. The text also discusses the properties of matter at very high density; the Gaussian distribution; fluctuations of the fundamental thermodynamic quantities; and fluctuations in solids and ideal gases. The symmetry of crystals; phase transitions of the second kind and critical phenomena; and surfaces are considered as well. Students taking statistical physics and those involved in the areas of statistical physics will find the book invaluable. |
| methods of theoretical physics morse and feshbach: Mathematical Methods Sadri Hassani, 2013-11-11 Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material. |
| methods of theoretical physics morse and feshbach: Classical Solutions in Quantum Field Theory Erick J. Weinberg, 2012-08-16 An overview of classical solutions and their consequences in quantum field theory, high energy physics and cosmology for graduates and researchers. |
| methods of theoretical physics morse and feshbach: Dyadic Green Functions in Electromagnetic Theory Chen-to Tai, 1994 In this comprehensive, new edition, Chen-To Tai gives extensive attention to recent research surrounding the techniques of dyadic Green functions. Additional formulations are introduced, including the classifications and the different methods of finding the eigenfunction expansions. Important new features in this edition include Maxwell's equations, which has been cast in a dyadic form to make the introduction of the electric and magnetic dyadic Green functions easier to understand; the integral solutions to Maxwell's equations, now derived with the aid of the vector-dyadic Green's theorem, allowing several intermediate steps to be omitted; a detailed discussion of complementary reciprocal theorems and transient radiation in moving media; and the derivation of various dyadic Green functions for problems involving plain layered media, and a two-dimensional Fourier-integral representation of these functions. This in-depth textbook will be of particular interest to antenna and microwave engineers, research scientists, and professors. |
| methods of theoretical physics morse and feshbach: Vibration and Sound Philip McCord Morse, 1981 |
| methods of theoretical physics morse and feshbach: An Invitation to Mathematical Physics and Its History Jont Allen, 2020-09-22 This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order. The book includes examples, homework problems, and exercises. This book can be used to teach a first course in engineering mathematics or as a refresher on basic mathematical physics. Besides serving as core textbook, this book will also appeal to undergraduate students with cross-disciplinary interests as a supplementary text or reader. |
| methods of theoretical physics morse and feshbach: Fantastic Realities Frank Wilczek, Betsy Devine, 2006 The fantastic reality that is modern physics is open for your exploration, guided by one of its primary architects and interpreters, Nobel Prize winner Frank Wilczek. Some jokes, some poems, and extracts from wife Betsy Devine's sparkling chronicle of what it's like to live through a Nobel Prize provide easy entertainment. There's also some history, some philosophy, some exposition of frontier science, and some frontier science, for your lasting edification. 49 pieces, including many from Wilczek's award-winning Reference Frame columns in Physics Today, and some never before published, are gathered by style and subject into a dozen chapters, each with a revealing, witty introduction. Profound ideas, presented with style: What could be better? Enjoy. |
| methods of theoretical physics morse and feshbach: The Foundations of Acoustics Eugen Skudrzyk, 2012-12-06 Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other. |
| methods of theoretical physics morse and feshbach: Silicones and Their Uses Rob Roy McGregor, 2013-08 |
| methods of theoretical physics morse and feshbach: JWKB Approximation Nanny Fröman, Per Olof Fröman, 1965 |
| methods of theoretical physics morse and feshbach: Essential Mathematics for the Physical Sciences, Volume 1 Brett Borden, James Luscombe, 2017-10-31 Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced. Solving PDEs can't be done, however, outside of the context in which they apply to physical systems. The solutions to PDEs must conform to boundary conditions, a set of additional constraints in space or time to be satisfied at the boundaries of the system, that small part of the universe under study. The first volume is devoted to homogeneous boundary-value problems (BVPs), homogeneous implying a system lacking a forcing function, or source function. The second volume takes up (in addition to other topics) inhomogeneous problems where, in addition to the intrinsic PDE governing a physical field, source functions are an essential part of the system. This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well. It is based on the assumption that it follows a math review course, and was designed to coincide with the second quarter of student study, which is dominated by BVPs but also requires an understanding of special functions and Fourier analysis. |
| methods of theoretical physics morse and feshbach: Heun's Differential Equations F. M. Arscott, 1995 Heun's equation is a second-order differential equation which crops up in a variety of forms in a wide range of problems in applied mathematics. These include integral equations of potential theory, wave propagation, electrostatic oscillation, and Schrodinger's equation. This volume brings together important research work for the first time, providing an important resource for all those interested in this mathematical topic. Both the current theory and the main areas of application are surveyed, and includes contributions from authoritative researchers. |
| methods of theoretical physics morse and feshbach: Nuclear, Particle and Many Body Physics Philip McCord Morse, 1972 Nuclear, Particle and Many Body Physics, Volume II, is the second of two volumes dedicated to the memory of physicist Amos de-Shalit. The contributions in this volume are a testament to the respect he earned as a physicist and of the warm and rich affection he commanded as a personal friend. The book contains 41 chapters and begins with a study on the renormalization of rational Lagrangians. Separate chapters cover the scattering of high energy protons by light nuclei; approximation of the dynamics of proton-neutron systems; the scattering amplitude for the Gaussian potential; Coulomb excitation of decaying states; the and optical potential for pions propagating in nuclear matter. Subsequent chapters deal with topics such as the elastic scattering of protons from analog resonances; internal Compton scattering in a muonic atom with an excited nucleus; and a formal theory of finite nuclear systems. The book also includes a eulogy and recollections of Amos de-Shalit. |
| methods of theoretical physics morse and feshbach: Akustik I / Acoustics I S. Flügge, 2012-12-06 |
| methods of theoretical physics morse and feshbach: Underwater Electroacoustic Measurements Robert J. Bobber, 1989-12-01 |
| methods of theoretical physics morse and feshbach: Mathematical Physics H K Dass, 2010-12 Mathematical Physics |
| methods of theoretical physics morse and feshbach: Fundamentals of Waves and Oscillations K. U. Ingard, 1988-07-28 This is a complete introduction to the theory of waves and oscillations as encountered by physics and engineering students. It discusses both the mathematical theory and the physics of phenomena such as waves in fluids, electromagnetic waves, and discrete coupled oscillators in mechanics and electronics. The author gives a description of the mathematics of complex amplitudes and introduces forced and free oscillations and normal modes of resonance. Chapters cover wave guides, barrier penetration, and electromagnetic transmission. One section, devoted solely to surface waves, includes a discussion on light scattering and the determination of surface tension and viscosity, plasma oscillations, and feedback oscillations. Ideas and equations are displayed for easy reference, and sets of exercises follow each chapter. |
| methods of theoretical physics morse and feshbach: Group Theory Eugene P. Wigner, 2013-09-03 Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods. |
| methods of theoretical physics morse and feshbach: Mathematics for Physics Michael Stone, Paul Goldbart, 2009-07-09 An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030. |
| methods of theoretical physics morse and feshbach: Lectures On Computation Richard P. Feynman, 1996-09-08 Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b |
| methods of theoretical physics morse and feshbach: Mathematical Methods for Physicists George B. Arfken, 2013-10-22 Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics. |
| methods of theoretical physics morse and feshbach: Methods of Theoretical Physics Philip McCord Morse, Herman Feshbach, 1953 |
| methods of theoretical physics morse and feshbach: Mathematical Methods for Physicists George Brown Arfken, George B. Arfken, Hans J. Weber, Frank E. Harris, 2013 Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics. |
| methods of theoretical physics morse and feshbach: Group Theoretical Methods In Physics - Proceedings Of The Yamada Conference Xl And Xx International Colloquium Tohru Eguchi, A Arima, Noboru Nakanishi, 1995-05-11 The topics discussed in this volume are: Symmetry and Foundations in Classical and Quantum Mechanics; Geometry, Topology and Quantum Field Theory; Quantum Groups and Infinite-Dimensional Lie Algebras; Algebraic Approach to Nuclear Structure; Integrable Statistical Systems and Theory of Critical Phenomena Supersymmetry; Atomic and Molecular Physics; Condensed Matter Physics; Other Applications of Group Theory to Physics. |
| methods of theoretical physics morse and feshbach: Essential Mathematical Methods for Physicists, ISE Hans J. Weber, George B. Arfken, 2003-10-02 This new adaptation of Arfken and Weber's bestselling Mathematical Methods for Physicists, Fifth Edition, is the most comprehensive, modern, and accessible reference for using mathematics to solve physics problems. REVIEWERS SAY: Examples are excellent. They cover a wide range of physics problems. --Bing Zhou, University of Michigan The ideas are communicated very well and it is easy to understand...It has a more modern treatment than most, has a very complete range of topics and each is treated in sufficient detail....I'm not aware of another better book at this level... --Gary Wysin, Kansas State University - This is a more accessible version of Arken/Weber's blockbuster reference, which already has more than 13,000 sales worldwide - Many more detailed, worked-out examples illustrate how to use and apply mathematical techniques to solve physics problems - More frequent and thorough explanations help readers understand, recall, and apply the theory - New introductions and review material provide context and extra support for key ideas - Many more routine problems reinforce basic, foundational concepts and computations |
| methods of theoretical physics morse and feshbach: Mathematical Techniques and Physical Applications J Killingbeck, 2012-12-02 Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book. |
| methods of theoretical physics morse and feshbach: The Theory of Metals A. H. Wilson, 2011-06-09 This second edition, first published in 1953 when the mathematical formulation of the theory of metals was substantially completed, provides a valuable survey for physicists and research metallurgists. It is a critical survey of the electronic properties of solids. A detailed index provides a useful aid to independent reading. |
| methods of theoretical physics morse and feshbach: Mathematical Methods For Physicists International Student Edition George B. Arfken, Hans J. Weber, 2005-07-05 This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. - Updates the leading graduate-level text in mathematical physics - Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering - Focuses on problem-solving skills and offers a vast array of exercises - Clearly illustrates and proves mathematical relations New in the Sixth Edition: - Updated content throughout, based on users' feedback - More advanced sections, including differential forms and the elegant forms of Maxwell's equations - A new chapter on probability and statistics - More elementary sections have been deleted |
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