Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

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Author :
Publisher : Bentham Science Publishers
ISBN 13 : 1681084503
Total Pages : 380 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach by : Peter Enders

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..

Quantum Mechanics

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Publisher : John Wiley & Sons
ISBN 13 : 1119829895
Total Pages : 438 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Quantum Mechanics by : Mark Julian Everitt

Download or read book Quantum Mechanics written by Mark Julian Everitt and published by John Wiley & Sons. This book was released on 2023-09-08 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: QUANTUM MECHANICS From classical analytical mechanics to quantum mechanics, simulation, foundations & engineering Quantum mechanics is a fundamental and conceptually challenging area of physics. It is usually assumed that students are unfamiliar with Lagrangian and Hamiltonian formulations of classical mechanics and the role played by probability. As a result, quantum physics is typically introduced using heuristic arguments, obscuring synergies with classical mechanics. This book takes an alternative approach by leveraging classical analytical mechanics to facilitate a natural transition to quantum physics. By doing so, a solid foundation for understanding quantum phenomena is provided. Key features of this textbook include: Mathematics and Classical Analytical Mechanics: The necessary mathematical background and classical analytical mechanics are introduced gradually, allowing readers to focus on one conceptual challenge at a time. Deductive Approach: Quantum mechanics is presented on the firm foundation of classical analytical mechanics, ensuring a logical progression of concepts. Pedagogical Features: This book includes helpful notes, worked examples, problems, computational challenges, and problem-solving approaches to enhance understanding. Comprehensive Coverage: Including advanced topics such as open quantum systems, phase-space methods, and computational methods for quantum physics including good programming practice and code design. Much of the code needed to reproduce figures throughout this book is included. Consideration of Foundations: The measurement problem and correspondence principle are addressed, including an open and critical discussion of their interpretation and consequences. Introduction to Quantum Systems Engineering: This is the first book to introduce Quantum Systems Engineering approaches for applied quantum technologies development. This textbook is suitable for undergraduate students in physics and graduate students in mathematics, chemistry, engineering, and materials science.

Quantum Mechanics

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Author :
Publisher : Springer Nature
ISBN 13 : 9819904943
Total Pages : 319 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Quantum Mechanics by : Tapan Kumar Das

Download or read book Quantum Mechanics written by Tapan Kumar Das and published by Springer Nature. This book was released on 2023-06-26 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme. The target audience is physics students at master’s level. It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions. Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions. Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme. They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics. Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as “mathematical preliminary.” Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method, bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme. Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II. ​

Foundations Of Quantum Mechanics, The: Historical Analysis And Open Questions

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Author :
Publisher : World Scientific
ISBN 13 : 9814493384
Total Pages : 436 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Foundations Of Quantum Mechanics, The: Historical Analysis And Open Questions by : Claudio Garola

Download or read book Foundations Of Quantum Mechanics, The: Historical Analysis And Open Questions written by Claudio Garola and published by World Scientific. This book was released on 2000-05-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a sample of the present research on the foundations of quantum mechanics and related topics by collecting the papers of the Italian scholars who attended the conference entitled “The Foundations of Quantum Mechanics — Historical Analysis and Open Questions” (Lecce, 1998). The perspective of the book is interdisciplinary, and hence philosophical, historical and technical papers are gathered together so as to allow the reader to compare different viewpoints and cultural approaches. Most of the papers confront, directly or indirectly, the objectivity problem, taking into account the positions of the founders of QM or more recent developments. More specifically, the technical papers in the book pay special attention to the interpretation of the experiments on Bell's inequalities and to decoherence theory, but topics on unsharp QM, the consistent-history approach, quantum probability and alternative theories are also discussed. Furthermore, a number of historical and philosophical papers are devoted to Planck's, Weyl's and Pauli's thought, but topics such as quantum ontology, predictivity of quantum laws, etc., are treated.

Quantum Mechanics

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Author :
Publisher : CRC Press
ISBN 13 : 1351166271
Total Pages : 340 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Quantum Mechanics by : Nelson Bolivar

Download or read book Quantum Mechanics written by Nelson Bolivar and published by CRC Press. This book was released on 2018-05-23 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume will act as a guide through the various aspects of quantum mechanics. It not only covers the basics but also addresses new themes developed in the field of quantum mechanics in recent years. These include quantum mechanics in relation to electronics, quantum dots, spintronics, cryptography, and other more theoretical aspects, such as the path integral formulation and supersymmetric quantum mechanics. The volume presents a number of mathematical tools and physical consequences derived from quantum mechanics. The starting point of the volume is a very brief review of the phenomenology associated with the origins of quantum theory, as the branch of science was understood in the beginning of the 20th century, leading to an interpretation of the results at that time. Key features: • Provides understanding and demystification of the quantum theory • Presents applications to information theory and encryption • Introduces applications to medicine, in both treatment and diagnosis • Covers applications to modern communications systems • Looks at the philosophical implications of quantum mechanics, its reality, and its perception • Describes the application to the basics of solid state devices

Mechanics

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Publisher : Elsevier
ISBN 13 : 1483139980
Total Pages : 412 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Mechanics by : T. T. Taylor

Download or read book Mechanics written by T. T. Taylor and published by Elsevier. This book was released on 2016-10-13 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics: Classical and Quantum is a 13-chapter book that begins by explaining the Lagrangian and Hamiltonian formulation of mechanics. The Hamilton-Jacobi theory, historical background of the quantum theory, and wave mechanics are then described. Subsequent chapters discuss the time-independent Schrödinger equation and some of its applications; the operators, observables, and the quantization of a physical system; the significance of expectation values; and the concept of measurement in quantum mechanics. The matrix mechanics and the "hydrogenic atom", an atom in which one electron moves under the influence of a nucleus of charge that, to a very good approximation, can be thought of as a point, are also presented. This book will be very useful to students studying this field of interest.

The Historical Development of Quantum Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387951782
Total Pages : 328 pages
Book Rating : 4.9/5 (517 download)

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Book Synopsis The Historical Development of Quantum Theory by : Jagdish Mehra

Download or read book The Historical Development of Quantum Theory written by Jagdish Mehra and published by Springer Science & Business Media. This book was released on 2000-12-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Theory, together with the principles of special and general relativity, constitute a scientific revolution that has profoundly influenced the way in which we think about the universe and the fundamental forces that govern it. The Historical Development of Quantum Theory is a definitive historical study of that scientific work and the human struggles that accompanied it from the beginning. Drawing upon such materials as the resources of the Archives for the History of Quantum Physics, the Niels Bohr Archives, and the archives and scientific correspondence of the principal quantum physicists, as well as Jagdish Mehra's personal discussions over many years with most of the architects of quantum theory, the authors have written a rigorous scientific history of quantum theory in a deeply human context. This multivolume work presents a rich account of an intellectual triumph: a unique analysis of the creative scientific process. The Historical Development of Quantum Theory is science, history, and biography, all wrapped in the story of a great human enterprise. Its lessons will be an aid to those working in the sciences and humanities alike.

Lectures on Quantum Mechanics

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Publisher : Courier Corporation
ISBN 13 : 0486320286
Total Pages : 96 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Lectures on Quantum Mechanics by : Paul A. M. Dirac

Download or read book Lectures on Quantum Mechanics written by Paul A. M. Dirac and published by Courier Corporation. This book was released on 2013-05-27 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.

Quantum Concepts in Physics

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Publisher : Cambridge University Press
ISBN 13 : 1107310911
Total Pages : pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Quantum Concepts in Physics by : Malcolm Longair

Download or read book Quantum Concepts in Physics written by Malcolm Longair and published by Cambridge University Press. This book was released on 2013-01-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for advanced undergraduates, physicists, and historians and philosophers of physics, this book tells the story of the development of our understanding of quantum phenomena through the extraordinary years of the first three decades of the twentieth century. Rather than following the standard axiomatic approach, this book adopts a historical perspective, explaining clearly and authoritatively how pioneers such as Heisenberg, Schrodinger, Pauli and Dirac developed the fundamentals of quantum mechanics and merged them into a coherent theory, and why the mathematical infrastructure of quantum mechanics has to be as complex as it is. The author creates a compelling narrative, providing a remarkable example of how physics and mathematics work in practice. The book encourages an enhanced appreciation of the interaction between mathematics, theory and experiment, helping the reader gain a deeper understanding of the development and content of quantum mechanics than any other text at this level.

Quantum Mechanics

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Publisher : World Scientific Publishing Company
ISBN 13 : 191129864X
Total Pages : 340 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Quantum Mechanics by : Edward G Steward

Download or read book Quantum Mechanics written by Edward G Steward and published by World Scientific Publishing Company. This book was released on 2011-10-18 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with an explanation of the origin and establishment of quantum mechanics together with a descriptive survey of developments up to the present day. The mathematics is presented in a digestible form yet following the original approach. This second edition presents two new chapters to supplement and extend the first edition material. “Interpretations of Quantum Mechanics” surveys a wide range of current topics, including the multiverse, 't Hooft's ideas for a deterministic local field theory, a summary of the de Broglie-Bohm pilot-wave theory and Anthony Valentini's development of it, and speculative concluding comments on the way ahead. “A Reflective Interlude” looks in more detail than hitherto at the origin and early years of wave-particle duality, with emphasis on trying to discover, as far as possible, what was the physical reality implied by de Broglie's work as it progressed. Appendices include useful reminder notes on associated background topics, with a new appendix “Planck Units”. With references to the original works, to reviews and useful bibliographies, the reader is uniquely well-equipped to delve further into the subject. In addition to its importance for those studying physics, this book is also intended for those studying the history of science. Contents: Setting the SceneLight: The 'Aether' and the Special Theory of RelativityThermal Radiation and Planck's 'Energy Elements'Einstein and the QuantumThe Quantum in the Atom: Optical SpectraEinstein's Transition Probabilities: Bohr's Theory and Planck's LawWave MechanicsMatrix MechanicsComplementarity, the Uncertainty Principle, and the Copenhagen InterpretationIndeterminacy and Entanglement (Sara M McMurry)A Reflective InterludeInterpretations of Quantum Mechanics (Sara M McMurry) Readership: Physicists, theoretical physicists, science historians and physical chemists.

Problems in Classical and Quantum Mechanics

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Publisher : Springer
ISBN 13 : 331946664X
Total Pages : 368 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Problems in Classical and Quantum Mechanics by : J. Daniel Kelley

Download or read book Problems in Classical and Quantum Mechanics written by J. Daniel Kelley and published by Springer. This book was released on 2016-11-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of problems that are intended to aid students in graduate and undergraduate courses in Classical and Quantum Physics. It is also intended to be a study aid for students that are preparing for the PhD qualifying exam. Many of the included problems are of a type that could be on a qualifying exam. Others are meant to elucidate important concepts. Unlike other compilations of problems, the detailed solutions are often accompanied by discussions that reach beyond the specific problem.The solution of the problem is only the beginning of the learning process--it is by manipulation of the solution and changing of the parameters that a great deal of insight can be gleaned. The authors refer to this technique as "massaging the problem," and it is an approach that the authors feel increases the pedagogical value of any problem.

From Classical Mechanics To Quantum Field Theory, A Tutorial

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Publisher : World Scientific
ISBN 13 : 9811210500
Total Pages : 255 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis From Classical Mechanics To Quantum Field Theory, A Tutorial by : Manuel Asorey

Download or read book From Classical Mechanics To Quantum Field Theory, A Tutorial written by Manuel Asorey and published by World Scientific. This book was released on 2020-01-14 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects an extended version of the lectures delivered by the authors at the Fall Workshop on Geometry and Physics in the years 2014, 2015, 2016.It aims at introducing advanced graduate and PhD students, as well as young researchers, to current research in mathematics and physics. In particular, it fills the gap between the more physical-oriented and the more mathematical-oriented literature on quantum theory. It introduces various approaches to methods of quantization, along with their impact on modern mathematical methods.

Classical Dynamics and Its Quantum Analogues

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Publisher : Springer Science & Business Media
ISBN 13 : 3642749224
Total Pages : 343 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Classical Dynamics and Its Quantum Analogues by : David Park

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.

Coherent Quantum Physics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110667363
Total Pages : 323 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Coherent Quantum Physics by : Arnold Neumaier

Download or read book Coherent Quantum Physics written by Arnold Neumaier and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-10-21 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces mathematicians, physicists, and philosophers to a new, coherent approach to theory and interpretation of quantum physics, in which classical and quantum thinking live peacefully side by side and jointly fertilize the intuition. The formal, mathematical core of quantum physics is cleanly separated from the interpretation issues. The book demonstrates that the universe can be rationally and objectively understood from the smallest to the largest levels of modeling. The thermal interpretation featured in this book succeeds without any change in the theory. It involves one radical step, the reinterpretation of an assumption that was virtually never questioned before - the traditional eigenvalue link between theory and observation is replaced by a q-expectation link: Objective properties are given by q-expectations of products of quantum fields and what is computable from these. Averaging over macroscopic spacetime regions produces macroscopic quantities with negligible uncertainty, and leads to classical physics. - Reflects the actual practice of quantum physics. - Models the quantum-classical interface through coherent spaces. - Interprets both quantum mechanics and quantum field theory. - Eliminates probability and measurement from the foundations. - Proposes a novel solution of the measurement problem.

Quantum-Classical Correspondence

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Publisher : Springer Science & Business Media
ISBN 13 : 3662096498
Total Pages : 196 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Quantum-Classical Correspondence by : A. O. Bolivar

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.

A Brief Introduction to Classical, Statistical, and Quantum Mechanics

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821842323
Total Pages : 165 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Brief Introduction to Classical, Statistical, and Quantum Mechanics by : Oliver Bühler

Download or read book A Brief Introduction to Classical, Statistical, and Quantum Mechanics written by Oliver Bühler and published by American Mathematical Soc.. This book was released on 2006-10-12 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Relativistic Classical Mechanics and Electrodynamics

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681737078
Total Pages : 138 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Relativistic Classical Mechanics and Electrodynamics by : Martin Land

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.