Berry phase in the simple harmonic oscillator

1999/08/01 by JeongHyeong Park, Park, JeongHyeong, Dae-Yup Song +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9908005

LaTex, 1 figure

arxiv created 1999/08/01 · arxiv updated 2009/12/01

Abstract

Berry phase of simple harmonic oscillator is considered in a general representation. It is shown that, Berry phase which depends on the choice of representation can be defined under evolution of the half of period of the classical motions, as well as under evolution of the period. The Berry phases do \em not depend on the mass or angular frequency of the oscillator. The driven harmonic oscillator is also considered, and the Berry phase is given in terms of Fourier coefficients of the external force and parameters which determine the representation.

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