Analytical Mechanics For Relativity And Quantum Mechanics
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Analytical Mechanics For Relativity And Quantum Mechanics
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Author : Oliver Davis Johns
language : en
Publisher:
Release Date : 2016
Analytical Mechanics For Relativity And Quantum Mechanics written by Oliver Davis Johns and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Science categories.
An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum mechanics: Part I is an introduction to analytical mechanics, suitable for a graduate or advanced undergraduate course. Part II presents material designed principally for graduate students. The appendices in Part III summarize the mathematical methods used in the text. The book integrates relativity into the teaching of classical mechanics. Part II introduces special relativity and covariant mechanics. It develops extended Lagrangian and Hamiltonian methods that treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics, including an extended definition of canonical transformation that both simplifies the theory and no longer excludes the Lorentz transformation. The book assists students who study classical mechanics as a preparation for quantum mechanics. Analytical mechanics is presented using methods - such as linear vector operators and dyadics - that familiarize the student with similar operator techniques in quantum theory and the dyadic Dirac notation. Comparisons to quantum mechanics appear throughout the text. For example, the chapter on Hamilton-Jacobi theory includes discussions of the closely related Bohm hidden variable model and Feynman path integral method. The chapter on angle-action variables concludes with a section on the old quantum theory. Several of the fundamental problems in physics - the development of quantum information technology, and the problem of quantizing the gravitational field, to name two - require a rethinking of the quantum-classical connection. Graduate students preparing for research careers will find a graduate mechanics course based on this book to be an essential bridge between their undergraduate training and advanced study in analytical mechanics, relativity, and quantum mechanics. New to the Second Edition: Part I contains new chapters on Central Force Motion (Chapter 11) and Scattering (Chapter 12), and new material on time-independent canonical transformations. Part II contains a new chapter (Chapter 22) on Angle-Action Variables. These additions allow a more flexible use of the text. Part I is now a self-contained, introductory analytical mechanics course. The instructor can then select a range of topics from Part II appropriate to the interests of more advanced students.
Analytical Mechanics For Relativity And Quantum Mechanics
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Author : Oliver Johns
language : en
Publisher: Oxford University Press
Release Date : 2005-07-07
Analytical Mechanics For Relativity And Quantum Mechanics written by Oliver Johns and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-07 with Mathematics categories.
An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.
Analytical Mechanics For Relativity And Quantum Mechanics
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Author : Oliver Davis Johns
language : en
Publisher:
Release Date : 2005
Analytical Mechanics For Relativity And Quantum Mechanics written by Oliver Davis Johns and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mechanics, Analytic categories.
Analytical Mechanics For Relativity And Quantum Mechanics
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Author : Oliver Johns
language : en
Publisher: OUP Oxford
Release Date : 2011-05-19
Analytical Mechanics For Relativity And Quantum Mechanics written by Oliver Johns and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-19 with Science categories.
An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.
Analytical Mechanics
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Author : Louis N. Hand
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-13
Analytical Mechanics written by Louis N. Hand and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-13 with Science categories.
Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.
Relativistic Quantum Physics
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Author : Tommy Ohlsson
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22
Relativistic Quantum Physics written by Tommy Ohlsson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.
Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.
The Britannica Guide To Relativity And Quantum Mechanics
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Author : Erik Gregersen Associate Editor, Astronomy and Space Exploration
language : en
Publisher: The Rosen Publishing Group, Inc
Release Date : 2011-01-15
The Britannica Guide To Relativity And Quantum Mechanics written by Erik Gregersen Associate Editor, Astronomy and Space Exploration and has been published by The Rosen Publishing Group, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-15 with Juvenile Nonfiction categories.
Explores relativity and quantum mechanics as well as the lives of those individuals who helped advance these fundamental areas of physics.
Theoretical Physics 2
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Author : Wolfgang Nolting
language : en
Publisher: Springer
Release Date : 2016-06-28
Theoretical Physics 2 written by Wolfgang Nolting and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-28 with Science categories.
This textbook offers a clear and comprehensive introduction to analytical mechanics, one of the core components of undergraduate physics courses. The book starts with a thorough introduction into Lagrangian mechanics, detailing the d’Alembert principle, Hamilton’s principle and conservation laws. It continues with an in-depth explanation of Hamiltonian mechanics, illustrated by canonical and Legendre transformation, the generalization to quantum mechanics through Poisson brackets and all relevant variational principles. Finally, the Hamilton-Jacobi theory and the transition to wave mechanics are presented in detail. Ideally suited to undergraduate students with some grounding in classical mechanics, the book is enhanced throughout with learning features such as boxed inserts and chapter summaries, with key mathematical derivations highlighted to aid understanding. The text is supported by numerous worked examples and end of chapter problem sets. About the Theoretical Physics series Translated from the renowned and highly successful German editions, the eight volumes of this series cover the complete core curriculum of theoretical physics at undergraduate level. Each volume is self-contained and provides all the material necessary for the individual course topic. Numerous problems with detailed solutions support a deeper understanding. Wolfgang Nolting is famous for his refined didactical style and has been referred to as the "German Feynman" in reviews.
Analytical Mechanics
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Author : Grant R. Fowles
language : en
Publisher:
Release Date : 2005
Analytical Mechanics written by Grant R. Fowles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
With the direct, accessible, and pragmatic approach of Fowles and Cassiday's ANALYTICAL MECHANICS, Seventh Edition, thoroughly revised for clarity and concision, students will grasp challenging concepts in introductory mechanics. A complete exposition of the fundamentals of classical mechanics, this proven and enduring introductory text is a standard for the undergraduate Mechanics course. Numerical worked examples increased students' problem-solving skills, while textual discussions aid in student understanding of theoretical material through the use of specific cases.
The Theoretical Minimum
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Author : Leonard Susskind
language : en
Publisher: Basic Books
Release Date : 2014-04-22
The Theoretical Minimum written by Leonard Susskind and has been published by Basic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-22 with Education categories.
A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.