Thomas L Curtright's Books

A Concise Treatise On Quantum Mechanics In Phase Space

By: Thomas L Curtright,David B Fairlie,Cosmas K Zachos

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A Concise Treatise On Quantum Mechanics In Phase Space

By: Thomas L Curtright,David B Fairlie,Cosmas K Zachos

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.

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Page Count

170

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814520462

ISBN 13

9789814520461

Quantum Mechanics in Phase Space

An Overview with Selected Papers

By: Cosmas Zachos,David Fairlie,Thomas Curtright

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Quantum Mechanics in Phase Space

An Overview with Selected Papers

By: Cosmas Zachos,David Fairlie,Thomas Curtright

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.

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Page Count

560

Publisher

World Scientific

Published Date

ISBN 10

9812383840

ISBN 13

9789812383846

Strategic Issues Facing Transportation

Preparing state transportation agencies for an uncertain energy future. Volume 5

By: Paul Sorensen,Thomas Light (Economist)

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Strategic Issues Facing Transportation

Preparing state transportation agencies for an uncertain energy future. Volume 5

By: Paul Sorensen,Thomas Light (Economist)

Preparing State Transportation Agencies for an Uncertain Energy Future /

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Page Count

300

Published Date

ISBN 10

0309283922

ISBN 13

9780309283922

Book's by Thomas L Curtright

A Concise Treatise On Quantum Mechanics In Phase Space

A Concise Treatise On Quantum Mechanics In Phase Space

Quantum Mechanics in Phase Space

Quantum Mechanics in Phase Space

Strategic Issues Facing Transportation

Strategic Issues Facing Transportation

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