Geometric Phases and Mielnik's Evolution Loops
High Energy Physics - Theory
2009-10-28 v1
Abstract
The cyclic evolutions and associated geometric phases induced by time-independent Hamiltonians are studied for the case when the evolution operator becomes the identity (those processes are called {\it evolution loops}). We make a detailed treatment of systems having equally-spaced energy levels. Special emphasis is made on the potentials which have the same spectrum as the harmonic oscillator potential (the generalized oscillator potentials) and on their recently found coherent states.
Cite
@article{arxiv.hep-th/9410213,
title = {Geometric Phases and Mielnik's Evolution Loops},
author = {David J. Fernández C},
journal= {arXiv preprint arXiv:hep-th/9410213},
year = {2009}
}
Comments
11 pages, harvmac, 2 figures available upon request; CINVESTAV-FIS GFMR 11/94