Solvable potentials, non-linear algebras, and associated coherent states
Quantum Physics
2009-10-31 v1
Abstract
Using the Darboux method and its relation with supersymmetric quantum mechanics we construct all SUSY partners of the harmonic oscillator. With the help of the SUSY transformation we introduce ladder operators for these partner Hamiltonians and shown that they close a quadratic algebra. The associated coherent states are constructed and discussed in some detail.
Cite
@article{arxiv.quant-ph/9806080,
title = {Solvable potentials, non-linear algebras, and associated coherent states},
author = {F. Cannata and G. Junker and J. Trost},
journal= {arXiv preprint arXiv:quant-ph/9806080},
year = {2009}
}
Comments
10 pages, 1 figure, uses AIP macros (included)