Hamilton-Jacobi mechanics from pseudo-supersymmetry

被引：25
|
作者：
Townsend, Paul K. [1 ]
机构：
[1] Univ Cambridge, Ctr Math Sci, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
来源：
CLASSICAL AND QUANTUM GRAVITY | 2008年 / 25卷 / 04期
关键词：
D O I：
10.1088/0264-9381/25/4/045017
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
For a general mechanical system, it is shown that each solution of the Hamilton Jacobi equation defines an N=2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton's principal function is the 'BPS' condition for preservation of 1/2 pseudo-supersymmetry. The examples of the relativistic and non-relativistic particle, in a general potential, are worked through in detail and used to discuss the relation to cosmology and to supersymmetric quantum mechanics.
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页数：16
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