中国物理B ›› 1998, Vol. 7 ›› Issue (10): 727-731.doi: 10.1088/1004-423X/7/10/002

• GENERAL • 上一篇    下一篇

AN INTEGRAL EXPRESSION OF EXACT SOLUTION FOR HARMONIC OSCILLATOR WITH TIME-VARYING FREQUENCY

李立祥, 郭光灿   

  1. Department of Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:1998-04-06 出版日期:1998-10-20 发布日期:1998-10-20
  • 基金资助:
    Project supported by the National Education Foundation of China for Ph.D.

AN INTEGRAL EXPRESSION OF EXACT SOLUTION FOR HARMONIC OSCILLATOR WITH TIME-VARYING FREQUENCY

Li Li-xiang (李立祥), Guo Guang-can (郭光灿)   

  1. Department of Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:1998-04-06 Online:1998-10-20 Published:1998-10-20
  • Supported by:
    Project supported by the National Education Foundation of China for Ph.D.

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摘要： Using Feynman's method of disentangling operators, an exact expression of evolution operator of harmonic oscillator with time-varying frequency is obtained. The parameters in this expression are related to the time-varying frequency directly. Some implications are further investigated, including general form of linear and quadratic invariants and evolution of Wigner function.

Abstract: Using Feynman's method of disentangling operators, an exact expression of evolution operator of harmonic oscillator with time-varying frequency is obtained. The parameters in this expression are related to the time-varying frequency directly. Some implications are further investigated, including general form of linear and quadratic invariants and evolution of Wigner function.

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
02.30.Tb (Operator theory)