Quantum Mechanics Of Many Degrees Of Freedom
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Quantum Mechanics Of Many Degrees Of Freedom
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Author : Daniel S. Koltun
language : en
Publisher: Wiley-VCH
Release Date : 1988-08-11
Quantum Mechanics Of Many Degrees Of Freedom written by Daniel S. Koltun and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-08-11 with Science categories.
This advanced text/reference presents the quantum theory of systems having many degrees of freedom, either because the systems contain many particles, or because of the possibility of particle creation or annihilation, or both. Theoretical techniques begin at the second quantization and the elements of quantum field theory, including pairing and tunneling, leading to diagrammatic methods for the many-body problem and for scattering theory. Presentation is self-contained and includes many examples and problems.
Quantum Mechanics
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Author : Harry J. Lipkin
language : en
Publisher: Courier Corporation
Release Date : 2014-08-11
Quantum Mechanics written by Harry J. Lipkin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-11 with Science categories.
Acclaimed as "excellent" (Nature) and "very original and refreshing" (Physics Today), these studies examine the Mössbauer effect, many-body quantum mechanics, scattering theory, Feynman diagrams, and relativistic quantum mechanics. 1973 edition.
Many Degrees Of Freedom In Field Theory
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Author : Ludwig Streit
language : en
Publisher: Springer
Release Date : 1978-04
Many Degrees Of Freedom In Field Theory written by Ludwig Streit and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-04 with Science categories.
Volumes 30 and 31 of this series, dealing with "Many Degrees of Freedom," contain the proceedings of the 1976 International Summer Institute of Theoretical Physics, held at the university of Bielefeld from August 23 to September 4, 1976. This institute was the eighth in a series of summer schools devoted to particle physics and organized by universities and research institutes in the Federal Republic of Germany. Many degrees of freedom and collective phenomena play a critical role in the description and understanding of elementary particles. The lectures in this volume were intended to display how these structures occur in various recent developments of mathematical physics. Lectures ranged from classical nonlinear field theory over classical soliton models, constructive quantum field theory with soliton solutions and gauge models to the recent unified description of renormalization group tech niques in probabilistic language and to quantum statisti cal dynamics in terms of derivations. The Institute took place at the Center for Inter disciplinary Research of the University of Bielefeld. On behalf of all participants, it is a pleasure to thank the officials and the administration of the Center for their cooperation and help before and during the Insti tute. Special thanks go to V.C. Fulland, M. Kamper, and A. Kottenkamp for their rapid and competent preparation of the manuscripts.
Inequivalent Representations Of Canonical Commutation And Anti Commutation Relations
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Author : Asao Arai
language : en
Publisher: Springer Nature
Release Date : 2020-02-04
Inequivalent Representations Of Canonical Commutation And Anti Commutation Relations written by Asao Arai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-04 with Science categories.
Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation–theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov–Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.
Development Of Quantum Theory From Physical Principles
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Author : Robert T. Deck
language : en
Publisher: Courier Dover Publications
Release Date : 2021-02-17
Development Of Quantum Theory From Physical Principles written by Robert T. Deck and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-17 with Science categories.
Comprehensive survey of quantum theory and its formalism demonstrates establishment of specific pairs of conjugate observables and the determination of their properties. Also relies on the Dirac equation and explains spin-statistics theorem. 2020 edition.
Principles Of Quantum Mechanics
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Author : R. Shankar
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Principles Of Quantum Mechanics written by R. Shankar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.
Quantum Spin Systems On Infinite Lattices
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Author : Pieter Naaijkens
language : en
Publisher: Springer
Release Date : 2017-03-20
Quantum Spin Systems On Infinite Lattices written by Pieter Naaijkens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with Science categories.
This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom – and quantum spin systems in particular – using the operator algebraic approach. Here, the observables are modeled using elements of some operator algebra, usually a C*-algebra. This text introduces readers to the framework and the necessary mathematical tools without assuming much mathematical background, making it more accessible than advanced monographs. The book also highlights the usefulness of the so-called thermodynamic limit of quantum spin systems, which is the limit of infinite system size. For example, this makes it possible to clearly distinguish between local and global properties, without having to keep track of the system size. Together with Lieb-Robinson bounds, which play a similar role in quantum spin systems to that of the speed of light in relativistic theories, this approach allows ideas from relativistic field theories to be implemented in a quantum spin system. Several related cases are discussed, demonstrating the merits of the operator algebraic approach. Featuring representative worked-out examples and many exercises, this text is primarily targeted at graduate students and advanced undergraduates in theoretical physics or mathematics with a keen interest in mathematical physics. The material provides the necessary background and pointers to start exploring the recent literature. As such, it will also be useful for active researchers seeking a quick and comparatively self-contained introduction to the operator algebraic approach to quantum spin systems.
The Historical Development Of Quantum Theory
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Author : Jagdish Mehra
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-28
The Historical Development Of Quantum Theory written by Jagdish Mehra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12-28 with Science categories.
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.
Quantum Mechanics Fundamentals
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Author : Kurt Gottfried
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Quantum Mechanics Fundamentals written by Kurt Gottfried and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Science categories.
Quantum mechanics was already an old and solidly established subject when the first edition of this book appeared in 1966. The context in which a graduate text on quantum mechanics is studied today has changed a good deal, however. In 1966, most entering physics graduate students had a quite limited exposure to quan tum mechanics in the form of wave mechanics. Today the standard undergraduate curriculum contains a large dose of elementary quantum mechanics, and often intro duces the abstract formalism due to Dirac. Back then, the study of the foundations by theorists and experimenters was close to dormant, and very few courses spent any time whatever on this topic. At that very time, however, John Bell's famous theorem broke the ice, and there has been a great flowering ever since, especially in the laboratory thanks to the development of quantum optics, and more recently because of the interest in quantum computing. And back then, the Feynman path integral was seen by most as a very imaginative but rather useless formulation of quantum mechanics, whereas it now plays a large role in statistical physics and quantum field theory, especially in computational work. For these and other reasons, this book is not just a revision of the 1966 edition. It has been rewritten throughout, is differently organized, and goes into greater depth on many topics that were in the old edition.
New Perspectives On Einstein S E Mc2
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Author : Young Suh Kim
language : en
Publisher: World Scientific
Release Date : 2018-09-18
New Perspectives On Einstein S E Mc2 written by Young Suh Kim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-18 with Science categories.
Einstein's energy-momentum relation is applicable to particles of all speeds, including the particle at rest and the massless particle moving with the speed of light. If one formula or formalism is applicable to all speeds, we say it is 'Lorentz-covariant.' As for the internal space-time symmetries, there does not appear to be a clear way to approach this problem. For a particle at rest, there are three spin degrees of freedom. For a massless particle, there are helicity and gauge degrees of freedom. The aim of this book is to present one Lorentz-covariant picture of these two different space-time symmetries. Using the same mathematical tool, it is possible to give a Lorentz-covariant picture of Gell-Mann's quark model for the proton at rest and Feynman's parton model for the fast-moving proton. The mathematical formalism for these aspects of the Lorentz covariance is based on two-by-two matrices and harmonic oscillators which serve as two basic scientific languages for many different branches of physics. It is pointed out that the formalism presented in this book is applicable to various aspects of optical sciences of current interest.