中国物理B ›› 2000, Vol. 9 ›› Issue (7): 481-484.doi: 10.1088/1009-1963/9/7/001

• GENERAL •    下一篇

TIME-DEPENDENT LANDAU SYSTEM AND NON-ADIABATIC BERRY PHASE IN TWO DIMENSIONS

景辉, 吴健生   

  1. Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China
  • 收稿日期:1999-11-16 修回日期:2000-02-21 出版日期:2005-06-10 发布日期:2005-06-10

TIME-DEPENDENT LANDAU SYSTEM AND NON-ADIABATIC BERRY PHASE IN TWO DIMENSIONS

Jing Hui (景辉), Wu Jian-sheng (吴健生)   

  1. Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China
  • Received:1999-11-16 Revised:2000-02-21 Online:2005-06-10 Published:2005-06-10

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摘要： By applying the time-independent unitary transformation, the time-dependent Landau system is transformed into a product of a time-independent Landau system's Hamiltonian and a factor only depending on time, which can be solved exactly. Both the invariant operator and the eigenstate are obtained. In the periodical time-dependent case, the non-adiabatic Berry's phase is also presented.

Abstract: By applying the time-independent unitary transformation, the time-dependent Landau system is transformed into a product of a time-independent Landau system's Hamiltonian and a factor only depending on time, which can be solved exactly. Both the invariant operator and the eigenstate are obtained. In the periodical time-dependent case, the non-adiabatic Berry's phase is also presented.

Key words: unitary transformation, Landau system, non-adiabatic Berry's phase

中图分类号:  (Linear algebra)

  • 02.10.Ud
02.30.Tb (Operator theory) 03.65.Fd (Algebraic methods) 03.65.Ta (Foundations of quantum mechanics; measurement theory)