Wigner functions and Weyl transforms for pedestrians

作者：William B. Case · 发表于：American Journal of Physics · 年份：2008 · DOI：10.1119/1.2957889 · 被引用次数：374 · 研究领域：Quantum Mechanics and Applications、Cold Atom Physics and Bose-Einstein Condensates、Quantum chaos and dynamical systems

Wigner functions and Weyl transforms of operators offer a formulation of quantum mechanics that is equivalent to the standard approach given by the Schrödinger equation. We give a short introduction and emphasize features that give insight into the nature of quantum mechanics and its relation to classical physics. A careful discussion of the classical limit and its difficulties is also given. The discussion is self-contained and includes complete derivations of the results presented.