Quantum Mechanics In Phase Space An Overview With Selected Papers
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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 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 Statistical Mechanics In Classical Phase Space
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Author : ATTARD
language : en
Publisher: IOP Publishing Limited
Release Date : 2021-11-30
Quantum Statistical Mechanics In Classical Phase Space written by ATTARD and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-30 with Science categories.
Quantum and classical physics are presented as distinct and unrelated. Transformation to classical phase space gives researchers access to algorithms derived from classical statistical mechanics that promise results on much more favourable terms. This book offers a framework for understanding the quantum world and collective molecular behaviour.
Symplectic Quantum Field Theory
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Author : Ademir E. Santana
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-12-21
Symplectic Quantum Field Theory written by Ademir E. Santana and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Science categories.
The present monograph brings to readers, as researchers and students of physics and mathematics, recent developments in symmetries, where the representation space is a symplectic manifold. This gives rise to the quantum field theory formulated in through the concept of phase space and associated with the Wigner function, a quasi-distribution of probability. This approach provides information about non-classicality of quantum systems, describes quantum chaos and is the starting point of the quantum kinetic theory. In this realm, abelian and non-abelian gauge symmetries are introduced with the concept of quasi-amplitude of probability. This leads, for instance, to Symplectic Schrödinger, Klein-Gordon and Dirac equations dealing with systems in condensed matter and particle physics. These achievements are depicted here, following a pedagogical model of presentation.
30 Years Of The Landau Institute Selected Papers
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Author : Isaak M Khalatnikov
language : en
Publisher: World Scientific
Release Date : 1996-08-15
30 Years Of The Landau Institute Selected Papers written by Isaak M Khalatnikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-15 with Science categories.
The Landau Institute for Theoretical Physics was created in 1965 by a group of LD Landau's pupils. Very soon, it was widely recognized as one of the world's leading centers in theoretical physics. According to Science Magazine, the Institute in the eighties had the highest citation index among all the scientific organizations in the former Soviet Union. This collection of the best papers of the Institute reflects the development of the many directions in the exact sciences during the last 30 years. The reader can find the original formulations of well-known notions in condensed matter theory, quantum field theory, mathematical physics and astrophysics, which were introduced by members of the Landau Institute.The following are some of the achievements described in this book: monopoles (A Polyakov), instantons (A Belavin et al.), weak crystallization (S Brazovskii), spin superfluidity (I Fomin), finite band potentials (S Novikov) and paraconductivity (A Larkin, L Aslamasov).
The Oxford Handbook Of The History Of Quantum Interpretations
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Author : Guido Bacciagaluppi
language : en
Publisher: Oxford University Press
Release Date : 2022
The Oxford Handbook Of The History Of Quantum Interpretations written by Guido Bacciagaluppi 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 2022 with Science categories.
This Oxford Handbook provides a rigorous, interdisciplinary review of the history of interpretations of quantum physics, presenting the key controversies within the field, as well as outlining its successes and its extraordinary potential across various scientific fields.
Compendium Of Quantum Physics
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Author : Daniel Greenberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-25
Compendium Of Quantum Physics written by Daniel Greenberger 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 2009-07-25 with Science categories.
With contributions by leading quantum physicists, philosophers and historians, this comprehensive A-to-Z of quantum physics provides a lucid understanding of key concepts of quantum theory and experiment. It covers technical and interpretational aspects alike, and includes both traditional and new concepts, making it an indispensable resource for concise, up-to-date information about the many facets of quantum physics.
Quantum Mechanics High Energy Physics And Accelerators
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Author : Mary Bell
language : en
Publisher: World Scientific
Release Date : 1995
Quantum Mechanics High Energy Physics And Accelerators written by Mary Bell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
The scientific career of John Steward Bell was distinguished by its breadth and its quality. He made several very important contributions to scientific fields as diverse as nuclear physics, accelerator physics, high energy physics and the philosophy of quantum mechanics and relativity. This book contains a large part of J.S. Bell's publications, including those that are recognized as his most important achievements, as well as others that are less well known. The selection was made by Mary Bell, Martinus Veltman and Kurt Gottfried, all of whom were involved with John Bell both personally and professionally throughout a large part of his life. An introductory chapter has been written to help place the selected papers in a historical context and to review their significance.
Advanced Topics In Quantum Mechanics
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Author : Marcos Mariño
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-09
Advanced Topics In Quantum Mechanics written by Marcos Mariño 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 2021-12-09 with Science categories.
An advanced quantum mechanics textbook that provides a unique pedagogical introduction to high-level topics in the field.
A Trajectory Description Of Quantum Processes I Fundamentals
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Author : Ángel S. Sanz
language : en
Publisher: Springer
Release Date : 2012-03-27
A Trajectory Description Of Quantum Processes I Fundamentals written by Ángel S. Sanz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-27 with Science categories.
Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.