Supersymmetric Method for Constructing Quasi-Exactly Solvable Potentials

Details Supersymmetric Method for Constructing Quasi-Exactly Solvable Potentials Supersymmetric Method for Constructing Quasi-Exactly Solvable Potentials

1998-06-09

arxiv.org/abs/quant-ph/9806030v1

Physics

Quantum Physics

11 pages, latex, to appear in Cond. Matt. Phys. (Lviv) (Proceedings of INTAS-Ukraine Workshop on Condensed Matter Physics, May

Scientific paper

We propose a new method for constructing the quasi-exactly solvable (QES)
potentials with two known eigenstates using supersymmetric quantum mechanics.
General expression for QES potentials with explicitly known energy levels and
wave functions of ground state and excited state are obtained. Examples of new
QES potentials are considered.

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