On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates
arXiv:quant-ph/0104009 · doi:10.1142/S0217732301004479
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.
LaTeX, 10 pages