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Quantum Algorithms
The Berry Phase for Simple Harmonic Oscillators
arXiv
Authors: Sergei K. Suslov
Year
2011
Paper ID
29276
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
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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- 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...
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