Wednesday, March 21, 2012

1112.2418 (Sergei K. Suslov)

The Berry Phase for Simple Harmonic Oscillators    [PDF]

Sergei K. Suslov
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.
View original: http://arxiv.org/abs/1112.2418

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