位相空間における量子力学：概論および精選論文集 Quantum Mechanics in Phase Space: An Overview with Selected Papers (World Scientific Series in 20th Century Physics)

Curtright, Thomas L (EDT)/ Fairlie, David B (EDT)/ Zachos, Cosmas K (EDT)

World Scientific Publishing Co Pte Ltd（2005/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 560 p.
• 言語 ENG
• 商品コード 9789812383846
• DDC分類 530.12

基本説明

A collection of the seminal papers on the formulation, with an introductory overview which provides a road map for those papers; provide supplementary material for a beginning graduate.

Full Description

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.