Runge-Lenz operator for Dirac field in Taub-NUT background

被引：18

作者：

Cotaescu, II

Visinescu, M

机构：

[1] W Univ Timisoara, RO-1900 Timisoara, Romania

[2] Natl Inst Phys & Nucl Engn, Dept Theoret Phys, Bucharest, Romania

来源：

PHYSICS LETTERS B | 2001年 / 502卷 / 1-4期

关键词：

D O I：

10.1016/S0370-2693(01)00184-8

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Fermions in D = 4 self-dual Euclidean Taub-NUT space are investigated. Dirac-type operators involving Killing-Yano tensors of the Taub-NUT geometry are explicitly given showing that they anticommute with the standard Dirac operator and commute with the Hamiltonian as it is expected. They are connected with the hidden symmetries of the space allowing the construction of a conserved vector operator analogous to the Runge-Lenz vector of the Kepler problem. This operator is written down pointing out its algebraic properties. (C) 2001 Published by Elsevier Science B.V.

引用

页码：229 / 234

页数：6