Abstract The problem of the isotopic harmonic oscillator of time-dependent frequency confined in a spherical box with time-dependent radius is studied. We show that the exact solution and the Lewis invariant operator can be obtained by performing two consecutive gauge transformations on the time-dependent Schr$\ddot{\rm o}$dinger equation. On the basis of the exact solution the non-adiabatic Berry phases for the system are calculated.
Received: 13 July 1998
Accepted manuscript online:
PACS:
03.65.Ta
(Foundations of quantum mechanics; measurement theory)
Fund: Project supported by the Shanxi Provincial Foundation for Returned Scholars.
Cite this article:
Liu Deng-yun (刘登云) BERRY PHASES IN THE QUANTUM STATE OF THE ISOTROPIC HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS 1999 Acta Physica Sinica (Overseas Edition) 8 1
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