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OverviewThis 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. Full Product DetailsAuthor: Thomas L Curtright (Univ Of Miami, Usa) , David B Fairlie (Univ Of Durham, Uk) , Cosmas K Zachos (Argonne Nat'l Lab, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 13.20cm , Height: 1.50cm , Length: 18.00cm Weight: 0.295kg ISBN: 9789814520430ISBN 10: 9814520438 Pages: 172 Publication Date: 16 January 2014 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsHistorical Survey; The Veridical Paradox; So fasst uns das, was wir nicht fassen konnten, voller Erscheinung - [Rilke]; A Stay Against Confusion; Dirac; Groenewold; Moyal; Introduction; The Wigner Function; Solving for the Wigner Function; The Uncertainty Principle; Ehrenfest's Theorem; Illustration: The Harmonic Oscillator; Time Evolution; Nondiagonal Wigner Functions; Stationary Perturbation Theory; Propagators and Canonical Transformations; The Weyl Correspondence; Alternate Rules of Association; The Groenewold van Hove Theorem and the Uniqueness of MB and *-Products; Advanced Topic: Quasi-Hermitian Quantum Systems; Omitted Miscellany; Synopses of Selected Papers.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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