Quantum Mechanics In Phase Space An Overview With Selected Papers
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Quantum Mechanics In Phase Space
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Author : Cosmas Zachos
language : en
Publisher: World Scientific
Release Date : 2005
Quantum Mechanics In Phase Space written by Cosmas Zachos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides ? coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.
A Concise Treatise On Quantum Mechanics In Phase Space
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Author : Thomas L Curtright
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-11-11
A Concise Treatise On Quantum Mechanics In Phase Space written by Thomas L Curtright and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
This is a text on quantum mechanics formulated simultaneously in terms of position and momentum, i.e. in phase space. It is written at an introductory level, drawing on the remarkable history of the subject for inspiration and motivation. Wigner functions — density matrices in a special Weyl representation — and star products are the cornerstones of the formalism.The resulting framework is a rich source of physical intuition. It has been used to describe transport in quantum optics, structure and dynamics in nuclear physics, chaos, and decoherence in quantum computing. It is also of importance in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative way to formulate and understand quantum mechanics, independent of the conventional Hilbert space or path integral approaches to the subject.In this logically complete and self-standing formulation, one need not choose sides between coordinate or momentum space variables. It works in full phase space, accommodating the uncertainty principle; and it offers unique insights into the classical limit of quantum theory. The observables in this formulation are c-number functions in phase space instead of operators, with the same interpretation as their classical counterparts, only composed together in novel algebraic ways using star products.This treatise provides an introductory overview and supplementary material suitable for an advanced undergraduate or a beginning graduate course in quantum mechanics.
Quantum Mechanics In Phase Space An Overview With Selected Papers
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Author : Thomas L Curtright
language : en
Publisher: World Scientific
Release Date : 2005-12-09
Quantum Mechanics In Phase Space An Overview With Selected Papers written by Thomas L Curtright and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-09 with Science categories.
Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides — coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.
A Concise Treatise On Quantum Mechanics In Phase Space
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Author : Thomas Curtright
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2014
A Concise Treatise On Quantum Mechanics In Phase Space written by Thomas Curtright and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
This is a text on quantum mechanics formulated simultaneously in terms of position and momentum, i.e. in phase space. It is written at an introductory level, drawing on the remarkable history of the subject for inspiration and motivation. Wigner functions density matrices in a special Weyl representation and star products are the cornerstones of the formalism. The resulting framework is a rich source of physical intuition. It has been used to describe transport in quantum optics, structure and dynamics in nuclear physics, chaos, and decoherence in quantum computing. It is also of importance in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative way to formulate and understand quantum mechanics, independent of the conventional Hilbert space or path integral approaches to the subject. In this logically complete and self-standing formulation, one need not choose sides between coordinate or momentum space variables. It works in full phase-space, accommodating the uncertainty principle; and it offers unique insights into the classical limit of quantum theory. The observables in this formulation are c-number functions in phase space instead of operators, with the same interpretation as their classical counterparts, only composed together in novel algebraic ways using star products. This treatise provides an introductory overview and supplementary material suitable for an advanced undergraduate or a beginning graduate course in quantum mechanics.
Phase Space Picture Of Quantum Mechanics
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Author : Y. S. Kim
language : en
Publisher: World Scientific
Release Date : 1991
Phase Space Picture Of Quantum Mechanics written by Y. S. 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 1991 with Science categories.
This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrdinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.
Quantum Mechanics On Phase Space
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Author : Franklin E. Schroeck Jr
language : en
Publisher:
Release Date : 2014-01-15
Quantum Mechanics On Phase Space written by Franklin E. Schroeck Jr and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Views Of A Physicist
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Author : N. G. van Kampen
language : en
Publisher: World Scientific
Release Date : 2000
Views Of A Physicist written by N. G. van Kampen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
NG van Kampen is a well-known theoretical physicist who has had a long and distinguished career. His research covers scattering theory, plasma physics, statistical mechanics, and various mathematical aspects of physics. In addition to his scientific work, he has written a number of papers about more general aspects of science. An indefatigable fighter for intellectual honesty and clarity, he has pointed out repeatedly that the fundamental ideas of physics have been needlessly obscured. As those papers appeared in various journals, partly in Dutch, it was felt that it would be worthwhile to collect them (translating the Dutch material into English) and make them available to a larger audience. This is a book of major importance to scientists and university teachers.
Quantum Mechanics On Phase Space
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Author : Franklin Schroeck
language : en
Publisher: Springer
Release Date : 1996
Quantum Mechanics On Phase Space written by Franklin Schroeck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Offers a new mathematical formulation of quantum theory, clarifies a number of discrepancies within the prior formulation, describes new applications to experiments in physics, and extends the realm of application beyond physics to such fields as signal processing and neuroscience. The approach is based on new extensions of the theory of group representations, which are developed and illustrated in the text, and connects quantum theory with quantum logic, philosophy, and the history of science. Assumes a knowledge of basic topology and analysis, some modern abstract algebra, and at least rudimentary quantum mechanics. Annotation copyright by Book News, Inc., Portland, OR
Wave Mechanics
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Author : Gunter Ludwig
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Wave Mechanics written by Gunter Ludwig and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Science categories.
Wave Mechanics discusses the quantum physical concepts of wave. The title accounts the development of quantum theory. The text first covers the historical development of quantum theory, and then proceeds to tackling the two routes to quantum mechanics. Next, the selection discusses the matrix mechanics and wave mechanics as representations of mathematical structures in Hubert space. The text also deals with the physical interpretation of quantum mechanics, along with the temporal development of the physical quantities. In the second part, the selection presents several papers in quantum mechanics. The book will be of great use to students and researchers of quantum physics.
Selected Papers Of L On Rosenfeld
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Author : Robert S. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Selected Papers Of L On Rosenfeld written by Robert S. Cohen 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.
The decision to undertake this volume was made in 1971 at Lake Como during the Varenna summer school ofthe Italian Physical Society, where Professor Leon Rosenfeld was lecturing on the history of quantum theory. We had long been struck by the unique blend of epistemological, histori cal and social concerns in his work on the foundations and development of physics, and decided to approach him there with the idea of publishing a collection of his papers. He responded enthusiastically, and agreed to help us select the papers; furthermore, he also agreed to write a lengthy introduction and to comment separately on those papers that he felt needed critical re-evaluation in the light of his current views. For he was still vigorously engaged in both theoretical investigations of, and critical not reflections on the foundations of theoretical physics. We certainly did conceive of the volume as a memorial to a 'living saint', but rather more practically, as a useful tool to place in the hands of fellow workers and students engaged in wrestling with these difficult problems. All too sadly, fate has added a memorial aspect to our labors. We agreed that in order to make this book most useful for the con temporary community of physicists and philosophers, we should trans late all non-English items into English.