Item description for Quantum Mechanics in Phase Space: An Overview with Selected Papers (World Scientific) by Cosmas K. Zachos, David B. Fairlie & Thomas L. 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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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 1.5" Width: 7.5" Height: 10.25" Weight: 2.84 lbs.
Publisher World Scientific Publishing Company
ISBN 9812383840 ISBN13 9789812383846
Availability 0 units.
More About Cosmas K. Zachos, David B. Fairlie & Thomas L. Curtright
Reviews - What do customers think about Quantum Mechanics in Phase Space: An Overview with Selected Papers (World Scientific)?
Great Aid in Studying & Understanding Hilbert-space Formulation Alternatives Dec 8, 2007
This is an eye-opener of a book, which I wish had been available to my teachers in college to teach a few lectures out of. It turns out the standard Hilbert-space formulation of quantum mechanics, which anyone has to suffer through, can actually be shadowed by an alternative equivalent formulation of quantum mechanics in phase space.
This phase-space formulation merges more directly and intuitively with classical physics, as it works with the same variables as classical theories, with essentially the same interpretation, avoiding the traditional counter-intuitive burden of operators---mostly. The book covers the basics of that theory with illustrative examples and invites the reader to go deeper into the classic original papers that comprise the bulk of the volume.
Beyond working out the basic formalism, it also highlights the conceptual autonomy of the formulation from the Hilbert-space picture, and might provide intuition on quntum puzzles that many students of quantum physics cannot help confronting repeatedly.