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Author : David Park
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)
Download or read book Classical Dynamics and Its Quantum Analogues written by David Park and published by . This book was released on 1990 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Allen Park
Publisher :
ISBN 13 : 9787506215572
Total Pages : 333 pages
Book Rating : 4.2/5 (155 download)
Download or read book Classical Dynamics and Its Quantum Analogues written by David Allen Park and published by . This book was released on 1990 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Park
Publisher : Springer
ISBN 13 : 9783662185995
Total Pages : 339 pages
Book Rating : 4.1/5 (859 download)
Download or read book Classical Dynamics and Its Quantum Analogues written by D. Park and published by Springer. This book was released on 2014-03-12 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Park
Publisher : Springer Science & Business Media
ISBN 13 : 3642749224
Total Pages : 343 pages
Book Rating : 4.6/5 (427 download)
Download or read book Classical Dynamics and Its Quantum Analogues written by David Park and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The short Heroic Age of physics that started in 1925 was one of the rare occasions when a deep consideration of the question: What does physics really say? was necessary in carrying out numerical calculations. In many parts of microphysics the calculations have now become relatively straightforward if not easy, but most physicists seem to agree that some questions of principle remain to be resolved, even if they do not think it is very important to do so. This situation has affected the way people think and write about quantum mechanics, a gingerly approach to fundamentals and a tendency to emphasize what fifty years ago was new in the new theory at the expense of continuity with what came before it. Nowadays those who look into the subject are more likely to be struck by unexpected similarities between quantum and classical mechanics than by dramatic contrasts they had been led to expect. It is often said that the hardest part of understanding quantum mechanics is to understand that there is nothing to understand; all the same, to think quantum mechanically it helps to have firm mental connections with classical physics and to know exactly what these connections do and do not imply. This book originated more than a decade ago as informal lecture notes [OP, prepared for use in a course taught from time to time to advanced undergraduates at Williams College.
Author : Daniela Dragoman
Publisher : Springer Science & Business Media
ISBN 13 : 3662096471
Total Pages : 355 pages
Book Rating : 4.6/5 (62 download)
Download or read book Quantum-Classical Analogies written by Daniela Dragoman and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrödinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light – localized light, frozen light – seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.
Author : Peter Enders
Publisher : Bentham Science Publishers
ISBN 13 : 1681084503
Total Pages : 380 pages
Book Rating : 4.6/5 (81 download)
Download or read book Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach written by Peter Enders and published by Bentham Science Publishers. This book was released on 2019-09-05 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and Helmholtz’s rather than Newton’s or Hamilton’s representations. Special attention is given to the common attributes rather than to the differences between classical and quantum mechanics. Readers will also learn about Schrödinger’s forgotten demands on quantization, his equation, Einstein’s idea of ‘quantization as selection problem’. The Schrödinger equation is derived without any assumptions about the nature of quantum systems, such as interference and superposition, or the existence of a quantum of action, h. The use of the classical expressions for the potential and kinetic energies within quantum physics is justified. Key features: · Presents extensive reference to original texts. · Includes many details that do not enter contemporary representations of classical mechanics, although these details are essential for understanding quantum physics. · Contains a simple level of mathematics which is seldom higher than that of the common (Riemannian) integral. · Brings information about important scientists · Carefully introduces basic equations, notations and quantities in simple steps This book addresses the needs of physics students, teachers and historians with its simple easy to understand presentation and comprehensive approach to both classical and quantum mechanics..
Author : E C George Sudarshan
Publisher : World Scientific Publishing Company
ISBN 13 : 9814713899
Total Pages : 612 pages
Book Rating : 4.8/5 (147 download)
Download or read book Classical Dynamics: A Modern Perspective written by E C George Sudarshan and published by World Scientific Publishing Company. This book was released on 2015-10-08 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics.Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory.This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.
Author : Andreas Knauf
Publisher : Springer
ISBN 13 : 3662557746
Total Pages : 683 pages
Book Rating : 4.6/5 (625 download)
Download or read book Mathematical Physics: Classical Mechanics written by Andreas Knauf and published by Springer. This book was released on 2018-02-24 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.
Author : A. O. Bolivar
Publisher : Springer Science & Business Media
ISBN 13 : 3662096498
Total Pages : 196 pages
Book Rating : 4.6/5 (62 download)
Download or read book Quantum-Classical Correspondence written by A. O. Bolivar and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.
Author : Walter Dittrich
Publisher : Springer Science & Business Media
ISBN 13 : 3642979211
Total Pages : 333 pages
Book Rating : 4.6/5 (429 download)
Download or read book Classical and Quantum Dynamics written by Walter Dittrich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past 10 to 15 years, the quantum leap in understanding of nonlinear dynamics has radically changed the frame of reference of physicists contemplating such systems. This book treats classical and quantum mechanics using an approach as introduced by nonlinear Hamiltonian dynamics and path integral methods. It is written for graduate students who want to become familiar with the more advancedcomputational strategies in classical and quantum dynamics. Therefore, worked examples comprise a large part of the text. While the first half of the book lays the groundwork for a standard course, the second half, with its detailed treatment of the time-dependent oscillator, classical and quantum Chern-Simons mechanics, the Maslov anomaly and the Berry phase, willacquaint the reader with modern topological methods that have not as yet found their way into the textbook literature.
Author : Martin Land
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681737078
Total Pages : 138 pages
Book Rating : 4.6/5 (817 download)
Download or read book Relativistic Classical Mechanics and Electrodynamics written by Martin Land and published by Morgan & Claypool Publishers. This book was released on 2019-12-05 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter τ to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the τ-evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five τ-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as τ advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at τ to an infinitesimally close 4D block universe defined at τ+dτ. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory.
Author : Pavel Bóna
Publisher : Springer Nature
ISBN 13 : 3030450708
Total Pages : 243 pages
Book Rating : 4.0/5 (34 download)
Download or read book Classical Systems in Quantum Mechanics written by Pavel Bóna and published by Springer Nature. This book was released on 2020-06-23 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltonian dynamics in the framework of quantum mechanics.The first possibility consists in exploiting the geometrical properties of the set of quantum pure states of "microsystems" and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number of interacting subsystems – i.e. macrosystems, so as to study the quantum mechanics of an infinite number of degrees of freedom and to look for the behaviour of their collective variables. The final chapter contains some solvable models of “quantum measurement" describing dynamical transitions from "microsystems" to "macrosystems".
Author : Jerry B. Marion
Publisher : Academic Press
ISBN 13 : 1483272818
Total Pages : 593 pages
Book Rating : 4.4/5 (832 download)
Download or read book Classical Dynamics of Particles and Systems written by Jerry B. Marion and published by Academic Press. This book was released on 2013-10-22 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.
Author : Eric J. Heller
Publisher : Princeton University Press
ISBN 13 : 0691163731
Total Pages : 472 pages
Book Rating : 4.6/5 (911 download)
Download or read book The Semiclassical Way to Dynamics and Spectroscopy written by Eric J. Heller and published by Princeton University Press. This book was released on 2018-06-05 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level text that examines the semiclassical approach to quantum mechanics Physical systems have been traditionally described in terms of either classical or quantum mechanics. But in recent years, semiclassical methods have developed rapidly, providing deep physical insight and computational tools for quantum dynamics and spectroscopy. In this book, Eric Heller introduces and develops this subject, demonstrating its power with many examples. In the first half of the book, Heller covers relevant aspects of classical mechanics, building from them the semiclassical way through the semiclassical limit of the Feynman path integral. The second half of the book applies this approach to various kinds of spectroscopy, such as molecular spectroscopy and electron imaging and quantum dynamical systems with an emphasis on tunneling. Adopting a distinctly time-dependent viewpoint, Heller argues for semiclassical theories from experimental and theoretical vantage points valuable to research in physics and chemistry. Featuring more than two hundred figures, the book provides a geometric, phase-space, and coordinate-space pathway to greater understanding. Filled with practical examples and applications, The Semiclassical Way to Dynamics and Spectroscopy is a comprehensive presentation of the tools necessary to successfully delve into this unique area of quantum mechanics. A comprehensive approach for using classical mechanics to do quantum mechanics More than two hundred figures to assist intuition Emphasis on semiclassical Green function and wave packet perspective, as well as tunneling and spectroscopy Chapters include quantum mechanics of classically chaotic systems, quantum scarring, and other modern dynamical topics
Author : Jorge V. José
Publisher : Cambridge University Press
ISBN 13 : 9780521636360
Total Pages : 702 pages
Book Rating : 4.6/5 (363 download)
Download or read book Classical Dynamics written by Jorge V. José and published by Cambridge University Press. This book was released on 1998-08-13 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.
Author : Jerry Baskerville Marion
Publisher :
ISBN 13 : 9780030989674
Total Pages : 638 pages
Book Rating : 4.9/5 (896 download)
Download or read book Classical Dynamics of Particles and Systems written by Jerry Baskerville Marion and published by . This book was released on 1995 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling classical mechanics text, written for the advanced undergraduate one- or two-semester course, provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. The authors make extensive use of vector calculus to explore topics; coverage also includes the Lagrangian formulation of mechanics. Modern notation and terminology are used throughout in support of the text's objective: to facilitate the transition to the quantum theory of physics.
Author : Victor P. Maslov
Publisher : Springer Science & Business Media
ISBN 13 : 9781402003066
Total Pages : 320 pages
Book Rating : 4.0/5 (3 download)
Download or read book Semi-Classical Approximation in Quantum Mechanics written by Victor P. Maslov and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with a detailed description of the canonical operator method - one of the asymptotic methods of linear mathematical physics. The book is, in fact, an extension and continuation of the authors' works [59], [60], [65]. The basic ideas are summarized in the Introduction. The book consists of two parts. In the first, the theory of the canonical operator is develop ed, whereas, in the second, many applications of the canonical operator method to concrete problems of mathematical physics are presented. The authors are pleased to express their deep gratitude to S. M. Tsidilin for his valuable comments. THE AUTHORS IX INTRODUCTION 1. Various problems of mathematical and theoretical physics involve partial differential equations with a small parameter at the highest derivative terms. For constructing approximate solutions of these equations, asymptotic methods have long been used. In recent decades there has been a renaissance period of the asymptotic methods of linear mathematical physics. The range of their applicability has expanded: the asymptotic methods have been not only continuously used in traditional branches of mathematical physics but also have had an essential impact on the development of the general theory of partial differential equations. It appeared recently that there is a unified approach to a number of problems which, at first sight, looked rather unrelated.
