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Quantum Mechanics On Phase Space


Quantum Mechanics On Phase Space
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Quantum Mechanics In Phase Space


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


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.



Phase Space Picture Of 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 Schr”dinger 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


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.




A Concise Treatise On Quantum Mechanics In Phase Space


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.



Quantum Mechanics On Phase Space


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



The Physics Of Phase Space


The Physics Of Phase Space
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Author : Young S. Kim
language : en
Publisher: Springer
Release Date : 2005-09-13

The Physics Of Phase Space written by Young S. Kim and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-13 with Science categories.


The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the study of the various semi-classical theories, which are the setting of the present volume. Much of the content is devoted to the study of the Wigner distribution. This volume gives the first complete survey of the progress made by both mathematicians and physicists. It will serve as an excellent reference for further research.



Quantum Mechanics In Phase Space


Quantum Mechanics In Phase Space
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Author : Philip Watson
language : en
Publisher:
Release Date : 1991

Quantum Mechanics In Phase Space written by Philip Watson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Phase space (Statistical physics) categories.




Quantum Mechanics On Phase Space


Quantum Mechanics On Phase Space
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Author : David Marcus Appleby
language : en
Publisher:
Release Date : 1997

Quantum Mechanics On Phase Space written by David Marcus Appleby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.




Quantum Mechanics On Phase Space


Quantum Mechanics On Phase Space
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Author : Surya Ganguli
language : en
Publisher:
Release Date : 1998

Quantum Mechanics On Phase Space written by Surya Ganguli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.