English

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

Quantum Physics 2009-11-07 v1

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)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.

Keywords

Cite

@article{arxiv.quant-ph/0104009,
  title  = {On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates},
  author = {Y. Brihaye and N. Debergh and J. Ndimubandi},
  journal= {arXiv preprint arXiv:quant-ph/0104009},
  year   = {2009}
}

Comments

LaTeX, 10 pages