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Acta Physica Sinica (Overseas Edition), 1998, Vol. 7(10): 727-731    DOI: 10.1088/1004-423X/7/10/002
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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)
Department of Physics, University of Science and Technology of China, Hefei 230026, China
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.
Received:  06 April 1998      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  02.30.Tb (Operator theory)  
Fund: Project supported by the National Education Foundation of China for Ph.D.

Cite this article: 

Li Li-xiang (李立祥), Guo Guang-can (郭光灿) AN INTEGRAL EXPRESSION OF EXACT SOLUTION FOR HARMONIC OSCILLATOR WITH TIME-VARYING FREQUENCY 1998 Acta Physica Sinica (Overseas Edition) 7 727

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