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

Y. Brihaye; N. Debergh; J. Ndimubandi

doi:10.1142/s0217732301004479

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

Y. Brihaye·N. Debergh·J. Ndimubandi

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Abstract

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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Y. Brihaye, N. Debergh, J. Ndimubandi. 2001-04-02. On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates. https://doi.org/10.1142/s0217732301004479

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