dorsal/arxiv
View SchemaBerry phase in the simple harmonic oscillator
| Authors | JeongHyeong Park, Dae-Yup Song |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908005 |
| URL | https://arxiv.org/abs/quant-ph/9908005 |
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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"abstract": "Berry phase of simple harmonic oscillator is considered in a general\nrepresentation. It is shown that, Berry phase which depends on the choice of\nrepresentation can be defined under evolution of the half of period of the\nclassical motions, as well as under evolution of the period. The Berry phases\ndo {\\em not} depend on the mass or angular frequency of the oscillator. The\ndriven harmonic oscillator is also considered, and the Berry phase is given in\nterms of Fourier coefficients of the external force and parameters which\ndetermine the representation.",
"arxiv_id": "quant-ph/9908005",
"authors": [
"JeongHyeong Park",
"Dae-Yup Song"
],
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"title": "Berry phase in the simple harmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/9908005"
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