%0 Journal Article
%T On the relation between polynomial deformations of sl(2,R) and quasi-exactly solvability
%A N. Debergh
%J Physics
%D 2000
%I arXiv
%R 10.1088/0305-4470/33/40/308
%X A general method based on the polynomial deformations of the Lie algebra sl(2,R) is proposed in order to exhibit the quasi-exactly solvability of specific Hamiltonians implied by quantum physical models. This method using the finite-dimensional representations and differential realizations of such deformations is illustrated on the sextic oscillator as well as on the second harmonic generation.
%U http://arxiv.org/abs/hep-th/0005141v1