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arXiv · 1112.2418

The Berry Phase for Simple Harmonic Oscillators

Sergei K. Suslov
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Abstract

We evaluate the Berry phase for a "missing" family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables (in a natural way). Instead, it is obtained by the action of the maximal kinematical invariance group on the standard solutions. A simple closed formula for the phase (in terms of elementary functions) is found by integration with the help of a computer algebra system.

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Sergei K. Suslov. 2012-03-20. The Berry Phase for Simple Harmonic Oscillators. https://arxiv.org/abs/1112.2418

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