Quasi-Exactly Solvable Potentials with Three Known Eigenstates
Quantum Physics
2016-09-08 v2 Mathematical Physics
math.MP
Abstract
We propose a new SUSY method for construction of the quasi-exactly solvable (QES) potentials with three known eigenstates. New QES potentials and corresponding energy levels and wave functions of the ground state and two lowest excited state are obtained. The proposed scheme allows also to construct families of exactly solvable non-singular potentials which are SUSY partners of the well-known ones.
Cite
@article{arxiv.quant-ph/9807025,
title = {Quasi-Exactly Solvable Potentials with Three Known Eigenstates},
author = {T. V. Kuliy and V. M. Tkachuk},
journal= {arXiv preprint arXiv:quant-ph/9807025},
year = {2016}
}
Comments
15 pages, LaTeX, no figures, revised version