Shape-invariant potentials and an associated coherent state
High Energy Physics - Theory
2009-10-22 v1
Abstract
An algebraic treatment of shape-invariant potentials in supersymmetric quantum mechanics is discussed. By introducing an operator which reparametrizes wave functions, the shape-invariance condition can be related to a oscillator-like algebra. It makes possible to define a coherent state associated with the shape-invariant potentials. For a large class of such potentials, it is shown that the introduced coherent state has the property of resolution of unity.
Cite
@article{arxiv.hep-th/9309153,
title = {Shape-invariant potentials and an associated coherent state},
author = {T. Fukui and N. Aizawa},
journal= {arXiv preprint arXiv:hep-th/9309153},
year = {2009}
}
Comments
11 pages + 1 figure (not included),Plain Tex YITP/K-1019, RCNP-055