The Berry Phase for Simple Harmonic Oscillators
Quantum Physics
2012-03-21 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1112.2418,
title = {The Berry Phase for Simple Harmonic Oscillators},
author = {Sergei K. Suslov},
journal= {arXiv preprint arXiv:1112.2418},
year = {2012}
}
Comments
7 pages, one figure