Coherent states for Hamiltonians generated by supersymmetry
Quantum Physics
2023-04-13 v2 High Energy Physics - Theory
Abstract
Coherent states are derived for one-dimensional systems generated by supersymmetry from an initial Hamiltonian with a purely discrete spectrum for which the levels depend analytically on their subindex. It is shown that the algebra of the initial system is inherited by its SUSY partners in the subspace associated to the isospectral part or the spectrum. The technique is applied to the harmonic oscillator, infinite well and trigonometric Poeschl-Teller potentials.
Cite
@article{arxiv.0705.0316,
title = {Coherent states for Hamiltonians generated by supersymmetry},
author = {David J. Fernandez C and Veronique Hussin and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:0705.0316},
year = {2023}
}