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

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

1998-08-25

arxiv.org/abs/quant-ph/9808050v1

J.Phys.A32:1291-1300,1999

Physics

Quantum Physics

17 pages, latex, no figures

Scientific paper

10.1088/0305-4470/32/7/019

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.

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