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Quantum Mechanics in Phase Space: An Overview with Selected Papers

4 October 2006

Edited by Cosmas K Zachos, David B Fairlie and Thomas L Curtright, World Scientific. Hardback ISBN 9812383840, £64 ($86).

41EWWv2hvXL._SX369_BO1,204,203,200_

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 emerged in the last quarter-century, furnishing a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space or path integral formulations. This book is a collection of the seminal papers on this formulation, with an introductory overview, an extensive bibliography, and simple illustrations, suitable for application to a broad range of physics problems.

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