Mathematical Physics Including Classical Mechanics By Satya Prakash Pdf
Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany.
Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 9780387218519
Category: Science
Page: 488
View: 271
Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.
The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner.
Author: Walter Greiner
Publisher: Springer
ISBN: 3642034330
Category: Science
Page: 580
View: 377
The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner. The volumes provide a complete survey of classical theoretical physics and an enormous number of worked out examples and problems.
The era of the polymath has passed; this book proposal aims to show the relevance to, and impact of theory on, laboratory scientists. This text concerns 'semiclassical' within various meanings.
Author: D.S.F. Crothers
Publisher: Springer Science & Business Media
ISBN: 9780387743134
Category: Science
Page: 344
View: 493
Condensed-matter physics plays an ever increasing role in photonics, electronic and atomic collisions research. Dispersion (Dynamics and Relaxation) includes scattering/collisions in the gaseous phase. It also includes thermal agitation, tunneling and relaxation in the liquid and solid phases. Classical mechanics, classical statistical mechanics, classical relativity and quantum mechanics are all implicated. 'Semiclassical' essentially means that there is a large or asymptotic real parameter. 'Semiclassical' can also mean 'classical with first-order quantal correction', based on an exponentiated Liouville series commencing with a simple pole in the -plane, being Planck's reduced constant and coming with all the attendant connection problems associated with the singularity at the turning or transition point and with the Stokes phenomenon. Equally,' semiclassical' can mean 'electrons described quantally and the heavy particles classically'. This latter gives rise to the so-called impact parameter method based on a pre-assigned classical trajectory. With evermore sophisticated experiments, it has become equally more important to test theory over a wider range of parameters. For instance, at low impact energies in heavy-particle collisions, the inverse velocity is a large parameter; in single-domain ferromagnetism, thermal agitation (including Brownian motion and continuous-time random walks) is faced with a barrier of height 'sigma', a possibly large parameter. Methods of solution include phase-integral analysis, integral transforms and change-of-dependent variable. We shall consider the Schrödinger time-independent and time-dependent equations, the Dirac equation, the Fokker Planck equation, the Langevin equation and the equations of Einstein's classical general relativity equations. There is an increasing tendency among physicists to decry applied mathematics and theoretical physics in favour of computational blackboxes. One may say applied mathematics concerns hard sums and products (and their inverses) but unless one can simplify and sum infinite series of products of infinite series, can one believe the results of a computer program? The era of the polymath has passed; this book proposal aims to show the relevance to, and impact of theory on, laboratory scientists.
The second edition has been supplemented with a new chapter devoted to concise though complete presentation of dynamical systems, bifurcations and chaos theory.
Author: Dietrich Stauffer
Publisher: Springer
ISBN: 9783662536858
Category: Science
Page: 270
View: 669
This textbook takes the reader on a tour of the most important landmarks of theoretical physics: classical, quantum, and statistical mechanics, relativity, electrodynamics, as well as the most modern and exciting of all: elementary particles and the physics of fractals. The second edition has been supplemented with a new chapter devoted to concise though complete presentation of dynamical systems, bifurcations and chaos theory. The treatment is confined to the essentials of each area, presenting all the central concepts and equations at an accessible level. Chapters 1 to 4 contain the standard material of courses in theoretical physics and are supposed to accompany lectures at the university; thus they are rather condensed. They are supposed to fill one year of teaching. Chapters 5 and 6, in contrast, are written less condensed since this material may not be part of standard lectures and thus could be studied without the help of a university teacher. An appendix on elementary particles lies somewhere in between: It could be a summary of a much more detailed course, or studied without such a course. Illustrations and numerous problems round off this unusual textbook. It will ideally accompany the students all along their course in theoretical physics and prove indispensable in preparing and revising the exams. It is also suited as a reference for teachers or scientists from other disciplines who are interested in the topic.
Dover Books on Physics (Dover, New York, 1995) D. Gregory, Classical Mechanics (Cambridge University Press, Cambridge, 2006) W. Greiner, Classical Mechanics: Point Particles and Relativity. Classical Theoretical Physics (Springer, ...
Author: Ilya L. Shapiro
Publisher: Springer Science & Business Media
ISBN: 9781461478256
Category: Science
Page: 250
View: 131
One could make the claim that all branches of physics are basically generalizations of classical mechanics. It is also often the first course which is taught to physics students. The approach of this book is to construct an intermediate discipline between general courses of physics and analytical mechanics, using more sophisticated mathematical tools. The aim of this book is to prepare a self-consistent and compact text that is very useful for teachers as well as for independent study.
Lagrangian and Hamiltonian Mechanics (World Scientific, Singapore etc., 1996), reprint edition. ISBN 981-02-2672-1. ... Classical Mechanics: Point Particles and Relativity. Classical Theoretical Physics (Springer, New York etc., 2003).
Author: Peter Ryder
Publisher: Peter Ryder
ISBN: 9783832260033
Category:
Page: 264
View: 662
Course of Theoretical Physics. Vol. I: Mechanics. Starting from the principle of least action and Galileo's principle of relativity this legendary book presents many aspects of classical mechanics in an both elementary and condensed ...
Author: Markus Reiher
Publisher: John Wiley & Sons
ISBN: 9783527312924
Category: Science
Page: 669
View: 328
Written by two researchers in the field, this book is a reference to explain the principles and fundamentals in a self–contained, complete and consistent way. Much attention is paid to the didactical value, with the chapters interconnected and based on each other. From the contents: ∗ Fundamentals ∗ Relativistic Theory of a Free Electron: Dirac´s Equation ∗ Dirac Theory of a Single Electron in a Central Potential ∗ Many–Electron Theory I: Quantum Electrodynamics ∗ Many–Electron Theory II: Dirac–Hartree–Fock Theory ∗ Elimination of the Small Component ∗ Unitary Transformation Schemes ∗ Relativistic Density Functional Theory ∗ Physical Observables and Molecular Properties ∗ Interpretive Approach to Relativistic Quantum Chemistry From beginning to end, the authors deduce all the concepts and rules, such that readers are able to understand the fundamentals and principles behind the theory. Essential reading for theoretical chemists and physicists.
Written for graduate and advanced undergraduate students, the goal of this series is to provide readers with a knowledge base necessary for professional work in physics, be that theoretical or experimental, fundamental or applied research.
Author: Konstantin K Likharev
Publisher:
ISBN: 0750319216
Category:
Page: 514
View: 923
Essential Advanced Physics (EAP) is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture notes and Problems with solutions, further supplemented by an additional collection of test problems and solutions available to qualifying university instructors. Written for graduate and advanced undergraduate students, the goal of this series is to provide readers with a knowledge base necessary for professional work in physics, be that theoretical or experimental, fundamental or applied research. From the formal point of view, it satisfies typical PhD basic course requirements at major universities. Selected parts of the series may also be valuable for graduate students and researchers in allied disciplines, including astronomy, chemistry, materials science, and mechanical, electrical, computer and electronic engineering. The EAP series is focused on the development of problem-solving skills. The following features distinguish it from other graduate-level textbooks: Concise lecture notes ( 250 pages per semester) Emphasis on simple explanations of the main concepts, ideas and phenomena of physics Sets of exercise problems, with detailed model solutions in separate companion volumes Extensive cross-referencing between the volumes, united by common style and notation Additional sets of test problems, freely available to qualifying faculty This volume, Classical Electrodynamics: Lecture notes is intended to be the basis for a two-semester graduate-level course on electricity and magnetism, including not only the interaction and dynamics charged point particles, but also properties of dielectric, conducting, and magnetic media. The course also covers special relativity, including its kinematics and particle-dynamics aspects, and electromagnetic radiation by relativistic particles.
... Mechanics' (Norton, New York, 1971) • H. Goldstein, C.P. Poole, J.L. Safko: 'Classical Mechanics' (Addison Wesley, Baltimore, 2001) • W. Greiner, D.A. Bromley: 'Classical Mechanics: Point Particles and Relativity' (Springer Verlag, ...
Author: Reiner M. Dreizler
Publisher: Springer Science & Business Media
ISBN: 9783642111389
Category: Science
Page: 402
View: 428
This book is the first of a series covering the major topics that are taught in university courses in Theoretical Physics: Mechanics, Electrodynamics, Quantum Theory and Statistical Physics. After an introduction to basic concepts of mechanics more advanced topics build the major part of this book. Interspersed is a discussion of selected problems of motion. This is followed by a concise treatment of the Lagrangian and the Hamiltonian formulation of mechanics, as well as a brief excursion on chaotic motion. The last chapter deals with applications of the Lagrangian formulation to specific systems (coupled oscillators, rotating coordinate systems, rigid bodies). The level of the last sections is advanced. The text is accompanied by an extensive collection of online material, in which the possibilities of the electronic medium are fully exploited, e.g. in the form of applets, 2D- and 3D-animations. It contains: A collection of 74 problems with detailed step-by-step guidance towards the solutions, a collection of comments and additional mathematical details in support of the main text, a complete presentation of all the mathematical tools needed.
This textbook bridges the gap between the level of introductory courses on mechanics and electrodynamics and the level of application in high energy physics and quantum field theory.
Author: Roman U. Sexl
Publisher: Springer Science & Business Media
ISBN: 9783709162347
Category: Science
Page: 388
View: 867
This textbook bridges the gap between the level of introductory courses on mechanics and electrodynamics and the level of application in high energy physics and quantum field theory. After explaining the postulates that lead to the Lorentz transformation and after going through the main points special relativity has to make in classical mechanics and electrodynamics, the authors gradually lead the reader up to a more abstract point of view on relativistic symmetry - illustrated by physical examples - until finally motivating and developing Wigner's classification of the unitary irreducible representations of the inhomogeneous Lorentz group. Numerous historical and mathematical asides contribute to the conceptual clarification.
6570 Theoretical Physics The Ward identity is derived for the electron - phonon coupling in one dimension and the ... ( IC — 80 / 101 ) Gauge dependence of world lines and invariance of the S - matrix in relativistic classical mechanics .
Author:
Publisher:
ISBN: UIUC:30112018073772
Category: Power resources
Page:
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This book is a text for the study of the classical (i.e. nonquantum) theory of charged particles.
Author: Fritz Rohrlich
Publisher: Westview Press
ISBN: 0201483009
Category: Science
Page: 305
View: 439
This book is a text for the study of the classical (i.e. nonquantum) theory of charged particles. The a pplication of the theory is well known in electron optics, particle accelerators, radiation from electron beams, and other fields. But the fundamentals of it are usually hidden in a cloud of uncertainty and confusion. In view of the importance of its applications, such a situation is highly unsatisfactory. The text is designed to teach primarily these fundamental aspects of the theory, while applications are restricted to the illustrations of points of principle....The interested reader will soon find that this is an unusual book in several respects. It cuts across many disciplines of theoretical physics which are ordinarily neatly separated and treated in different books: classical mechanics, electrodynamics, special relativity and general relativity, not to mention a little history and philosophy. It is unusual also in that it deals with elementary notions from an advanced point of view and with deeper questions usually left for "high-brow" treatments.
6611 Classical and Quantum Mechanics confidential , and the list of respondents provided at the back of this report includes only those ... We present a classical higher derivative point particle theory whose quantization gives Wigner's ...
Author:
Publisher:
ISBN: PSU:000052605994
Category: Power resources
Page:
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This book is a text for the study of the classical (i.e. nonquantum) theory of charged particles. ... of theoretical physics which are ordinarily neatly separated and treated in different books: classical mechanics, electrodynamics, ...
Author: Fritz Rohrlich
Publisher: CRC Press
ISBN: 9780429709067
Category: Science
Page: 332
View: 609
Widely-discussed in the theory of classical point charges are the difficulties of divergent self-energy, self-accelerating solutions, and pre-acceleration. This book explains the theory in the context of quantum electrodynamics, the neutral particle limit, and coherence with neighboring theories.
in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics.
Author: M.A. Trump
Publisher: Springer Science & Business Media
ISBN: 079235737X
Category: Science
Page: 370
View: 620
in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.
Originally written in 1964, this famous text is a study of the classical theory of charged particles.
Author: Fritz Rohrlich
Publisher: World Scientific Publishing Company
ISBN: 9789813106789
Category: Science
Page: 324
View: 503
Originally written in 1964, this famous text is a study of the classical theory of charged particles. Many applications treat electrons as point particles. At the same time, there is a widespread belief that the theory of point particles is beset with various difficulties such as an infinite electrostatic self-energy, a rather doubtful equation of motion which admits physically meaningless solutions, violation of causality and others. The classical theory of charged particles has been largely ignored and has been left in an incomplete state since the discovery of quantum mechanics. Despite the great efforts of men such as Lorentz, Abraham, Poincaré, and Dirac, it is usually regarded as a "lost cause". But thanks to progress made just a few years ago, the author is able to resolve the various problems and to complete this unfinished theory successfully.
However, the interpretation that this is a probability density for the particle is shown not to hold.
Author: Barry Bruce
Publisher: Universal-Publishers
ISBN: 9781612331607
Category: Science
Page: 268
View: 709
The field equations of Einstein's General Relativity are solved for an infinite universe with uniform density. One of the three solutions, the Infinite Universe of Einstein and Newton, fits all the data for the Hubble diagram better than the Big Bang. Next, using general relativity and the physics that evolved from Newton, the force of gravity between two massive point particles is found. Utilizing this force and the Infinite Universe of Einstein and Newton model, the net force of gravity on a point particle in arbitrary motion, due the uniform mass distribution of the universe, is calculated by integration. This net force of gravity is found to be equal to the Force of Inertia. These calculations explain Newton's First Law, Newton's Second Law, and the equivalence of inertial and gravitational mass. The middle of the book deals with the development of quantum mechanics. Here it is shown that hidden within the classical mechanics of particles there is the phase of a wave, associated with a particle, that moves at the speed of a de Broglie wave. The form of the phase of the wave is developed. Making use of the form of the phase, the Hamilton-Jacobi equation for a particle is setup to be solved using an integrating factor. The resulting equation is manipulated directly into the form of the Schrodinger equation. This development requires that the particle Hamilton-Jacobi equation has a solution whenever the Schrodinger equation has a solution and vice versa. The classical wave function is then shown to have exactly the same mathematical properties as the quantum mechanical wave function, including the fact that the absolute value squared of the classical wave function has the mathematical properties of a probability density. However, the interpretation that this is a probability density for the particle is shown not to hold. Lastly, the missing matter problem is resolved by showing that the dynamics and the mass of a spiral galaxy are better and more naturally explained by using ordinary physics with ordinary interacting matter than they are by postulating and using exotic weakly interacting dark matter.
Those quanta simply do not have all attributes of the point particles of our classical mechanics or non-relativistic quantum mechanics courses. But, since the same conclusion holds for the quanta of a lattice vibration field, ...
Author: S. Twareque Ali
Publisher: Springer
ISBN: 9789386279330
Category: Mathematics
Page: 226
View: 376
Professor Gerard G. Emch has been one of the pioneers of the C-algebraic approach to quantum and classical statistical mechanics. In a prolific scientific career, spanning nearly five decades, Professor Emch has been one of the creative influences in the general area of mathematical physics. The present volume is a collection of tributes, from former students, colleagues and friends of Professor Emch, on the occasion of his 70th birthday. The articles featured here are a small yet representative sample of the breadth and reach of some of the ideas from mathematical physics.It is also a testimony to the impact that Professor Emch's work has had on several generations of mathematical physicists as well as to the diversity of mathematical methods used to understand them.
Its point of departure is the idea that the fundamental constituents of matter are not point particles but onedimensional ... The classical theory of a relativistic string occupies §15.2, where we shall see that a tractable mathematical ...
Author: Ian D. Lawrie
Publisher: CRC Press
ISBN: 9781439858196
Category: Science
Page: 580
View: 183
A unified account of the principles of theoretical physics, A Unified Grand Tour of Theoretical Physics, Second Edition stresses the inter-relationships between areas that are usually treated as independent. The profound unifying influence of geometrical ideas, the powerful formal similarities between statistical mechanics and quantum field theory, and the ubiquitous role of symmetries in determining the essential structure of physical theories are emphasized throughout. This second edition conducts a grand tour of the fundamental theories that shape our modern understanding of the physical world. The book covers the central themes of space-time geometry and the general relativistic account of gravity, quantum mechanics and quantum field theory, gauge theories and the fundamental forces of nature, statistical mechanics, and the theory of phase transitions. The basic structure of each theory is explained in explicit mathematical detail with emphasis on conceptual understanding rather than on the technical details of specialized applications. The book gives straightforward accounts of the standard models of particle physics and cosmology.
D. Bohm (2006) The Special Theory of Relativity, Routledge. ... A. Einstein (2007) Relativity: The Special and the General Theory, Dodo Press. ... W. Greiner (2004) Classical Mechanics: Point Particles and Relativity, Springer.
Author: Freund Jurgen
Publisher: World Scientific Publishing Company
ISBN: 9789813101463
Category: Science
Page: 332
View: 803
This book, first appearing in German in 2004 under the title Spezielle Relativitätstheorie für Studienanfänger, offers access to the special theory of relativity for readers with a background in mathematics and physics comparable to a high school honors degree. All mathematical and physical competence required beyond that level is gradually developed through the book, as more advanced topics are introduced. The full tensor formalism, however, is dispensed with as it would only be a burden for the problems to be dealt with. Eventually, a substantial and comprehensive treatise on special relativity emerges which, with its gray-shaded formulary, is an invaluable reference manual for students and scientists alike.Some crucial results are derived more than once with different approaches: the Lorentz transformation in one spatial direction three times, the Doppler formula four times, the Lorentz transformation in two directions twice; also twice the unification of electric and magnetic forces, the velocity addition formula, as well as the aberration formula. Beginners will be grateful to find several routes to the goal; moreover, for a theory like relativity, it is of fundamental importance to demonstrate that it is self-contained and without contradictions.Author's website: www.relativity.ch.
Mathematical Physics Including Classical Mechanics By Satya Prakash Pdf
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