Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates
Quantum Physics
2009-11-07 v1
Abstract
Using supersymmetric quantum mechanics we construct the quasi-exactly solvable (QES) potentials with arbitrary two known eigenstates. The QES potential and the wave functions of the two energy levels are expressed by some generating function the properties of which determine the state numbers of these levels. Choosing different generating functions we present a few explicit examples of the QES potentials.
Cite
@article{arxiv.quant-ph/0107115,
title = {Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates},
author = {V. M. Tkachuk},
journal= {arXiv preprint arXiv:quant-ph/0107115},
year = {2009}
}
Comments
15 pages