A Note on Wigner Functions and *-Genvalue Equation

被引：0
|
作者：
Jing Si-Cong [1 ]
Lin Bing-Sheng [1 ]
机构：
[1] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2009年 / 51卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Wigner function; *-genvalue equation; deformation quantization; QUANTUM-MECHANICS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In deformation quantization, static Wigner functions obey functional *-genvalue equation, which is equivalent to time-independent Schrodinger equation in Hilbert space operator formalism of quantum mechanics. This equivalence is proved mostly for Hamiltonian with form (H) over cap = (1/2) (p) over cap (2) + V (<((x))over cap>) [D. Fairlie, Proc. Camb. Phil. Soc. 60 (1964) 581]. In this note we generalize this proof to a very general Hamiltonian (H) over cap ((x) over cap, (p) over cap) and give examples to support it.
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页码：605 / 608
页数：4
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