On quantum mechanics as constrained N=2 supersymmetric classical dynamics

被引：12
|
作者：
Elze, HT [1 ]
机构：
[1] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy
来源：
PHYSICS LETTERS A | 2005年 / 335卷 / 04期
关键词：
Schrodinger equation; Liouville equation; SUSY; pseudoclassical mechanics;
D O I：
10.1016/j.physleta.2004.12.045
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Schrodinger equation is shown to be equivalent to a constrained Liouville equation under the assumption that phase space is extended to Grassmann algebra valued variables. For one-dimensional systems, the underlying Hamiltonian dynamics has a N = 2 supersymmetry. Potential applications to more realistic theories are briefly discussed. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：258 / 265
页数：8
相关论文
共 50 条
12345