WIGNER FUNCTIONS, FRESNEL OPTICS, AND SYMPLECTIC CONNECTIONS ON PHASE SPACE

被引：0
作者：
Isidro, Jose M. [1 ]
机构：
[1] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Grp Modelizac Interdisciplinar, Valencia 46022, Spain
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2008年 / 5卷 / 05期
关键词：
Quantum mechanics; phase space; Wigner functions;
D O I：
10.1142/S0219887808003089
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that Wigner functions contain a symplectic connection. The latter covariantizes the symplectic exterior derivative on phase space. We analyze the role played by this connection and introduce the notion of local symplectic covariance of quantum-mechanical states. This latter symmetry is at work in the Schrodinger equation on phase space.
引用
收藏
页码：663 / 676
页数：14
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