Quasi-Hermitian quantum mechanics in phase space

被引：10

作者：

Curtright, Thomas ^{[1
]}

Veitia, Andrzej ^{[1
]}

机构：

[1] Univ Miami, Dept Phys, Coral Gables, FL 33124 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 10期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.2365716

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate quasi-Hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them. (C) 2007 American Institute of Physics.

引用

页数：48

共 27 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS F, V55

[2] Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors -: art. no. P10003 [J].