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THE EXACT SOLUTION AND BERRY'S PHASE FOR THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR

GAO XIAO-CHUN XU JIN-BO QIAN TIE-ZHENG

THE EXACT SOLUTION AND BERRY'S PHASE FOR THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR

GAO XIAO-CHUN, XU JIN-BO, QIAN TIE-ZHENG
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  • Received Date:  31 January 1990
  • Published Online:  28 June 2005

THE EXACT SOLUTION AND BERRY'S PHASE FOR THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR

  • 1. 浙江大学物理系,杭州,310027

Abstract: In this paper, we find the exact solution for the generalized time-dependent harmonic oscillator by making use of the Lewis-Riesenfeld theory. Then, the adiabatic asymptotic limit of the exact solution is discussed and the Berry's phase factor for the oscillator obtained. We proceed to use the exact solution to construct the coherent state and calculate the corresponding classical Hannay angle.

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