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Evolution of Gaussian Wave Packet and Nonadiabatic Geometrical Phase for the time-dependent Singular Oscillator

Mustapha Maamache·Hacene Bekkar
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Abstract

The geometrical phase of a time-dependent singular oscillator is obtained in the framework of Gaussian wave packet. It is shown by a simple geometrical approach that the geometrical phase is connected to the classical nonadiabatic Hannay angle of the generalized harmonic oscillator.

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Mustapha Maamache, Hacene Bekkar. 2002-04-22. Evolution of Gaussian Wave Packet and Nonadiabatic Geometrical Phase for the time-dependent Singular Oscillator. https://arxiv.org/abs/quant-ph/0204132

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