English

A coherent state associated with shape-invariant potentials

High Energy Physics - Theory 2007-05-23 v1

Abstract

An algebraic treatment of shape-invariant potentials is discussed. By introducing an operator which reparametrizes wavefunctions, the shape-invariance condition can be related to a generalized Heisenberg- Weyl algebra. It is shown that this makes it possible to define a coherent state associated with the shape-invariant potentials.

Keywords

Cite

@article{arxiv.hep-th/9312098,
  title  = {A coherent state associated with shape-invariant potentials},
  author = {T. Fukui and N. Aizawa},
  journal= {arXiv preprint arXiv:hep-th/9312098},
  year   = {2007}
}

Comments

(Talk given at the XIIth workshop on geometric methods in physics) 8 pages, latex, preprint YITP/K-1041, RCNP-065