On the relation between quantum mechanical and classical parallel transport

被引：3

作者：

Anandan, J

Stodolsky, L

机构：

[1] Max Planck Inst Phys, Werner Heisenberg Inst, D-80805 Munich, Germany

[2] Univ S Carolina, Dept Phys & Astron, Columbia, SC 29208 USA

来源：

PHYSICS LETTERS A | 2000年 / 266卷 / 2-3期

关键词：

D O I：

10.1016/S0375-9601(00)00013-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We explain how the kind of 'parallel transport' of a wavefunction used in discussing the Berry or Geometrical phase induces the conventional parallel transport of certain real vectors. These real vectors are associated with operators whose commutators yield diagonal operators; or in Lie algebras those operators whose commutators are in the (diagonal) Cartan subalgebra. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：95 / 97

页数：3