English

Supersymmetric Method for Constructing Quasi-Exactly and Conditionally-Exactly Solvable Potentials

Quantum Physics 2008-11-26 v1 Mathematical Physics math.MP

Abstract

Using supersymmetric quantum mechanics we develop a new method for constructing quasi-exactly solvable (QES) potentials with two known eigenstates. This method is extended for constructing conditionally-exactly solvable potentials (CES). The considered QES potentials at certain values of parameters become exactly solvable and can be treated as CES ones.

Keywords

Cite

@article{arxiv.quant-ph/9808050,
  title  = {Supersymmetric Method for Constructing Quasi-Exactly and Conditionally-Exactly Solvable Potentials},
  author = {V. M. Tkachuk},
  journal= {arXiv preprint arXiv:quant-ph/9808050},
  year   = {2008}
}

Comments

17 pages, latex, no figures