On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates

Details On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates

2001-04-02

arxiv.org/abs/quant-ph/0104009v1

Physics

Quantum Physics

LaTeX, 10 pages

Scientific paper

10.1142/S0217732301004479

We compare two recent approaches of quasi-exactly solvable Schr\" odinger
equations, the first one being related to finite-dimensional representations of
$sl(2,R)$ while the second one is based on supersymmetric developments. Our
results are then illustrated on the Razavy potential, the sextic oscillator and
a scalar field model.

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