Dynamic Lie-algebra structure of a quantum system and the Aharonov-Anandan phase

Shi-Min Cui
Phys. Rev. A 47, 690 – Published 1 January 1993
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Abstract

The dynamic Lie-algebra structure decomposition of the time-dependent Schrödinger equation for a quantum system is analyzed and the results are used to study the Aharonov-Anandan phase. The expression for Aharonov-Anandan phase is given, which is shown to be useful by the illustration of some examples and to be applicable to rather general systems.

  • Received 13 March 1992

DOI:https://doi.org/10.1103/PhysRevA.47.690

©1993 American Physical Society

Authors & Affiliations

Shi-Min Cui

  • Chinese Center for Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, People’s Republic of China
  • Institute of Condensed Matter Physics, Department of Applied Physics, Jiao Tong University, Shanghai 200030, People’s Republic of China

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Vol. 47, Iss. 1 — January 1993

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