The Berry Phase for Simple Harmonic Oscillators

Details The Berry Phase for Simple Harmonic Oscillators The Berry Phase for Simple Harmonic Oscillators

2011-12-12

arxiv.org/abs/1112.2418v3

Physics

Quantum Physics

7 pages, one figure

Scientific paper

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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