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

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.

17 pages, latex, no figures

References in corpus (3)

• Conditionally exactly solvable potentials: A supersymmetric construction method
• Quasi-Exactly Solvable Potentials with Two Known Eigenstates
• Anti-isospectral Transformations, Orthogonal Polynomials and Quasi-Exactly Solvable Problems

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• Singular Isotonic Oscillator, Supersymmetry and Superintegrability