A General Approach of Quasi-Exactly Solvable Schroedinger Equations
Quantum Physics
2009-11-07 v1
Abstract
We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary Schroedinger Hamiltonians. Both exact and quasi-exact Hamiltonians enter our formalism but we focus on quasi-exact interactions for which no such general approach has been considered before. In particular we concentrate on a generalized sextic oscillator but also on the Lame and the screened Coulomb potentials.
Keywords
Cite
@article{arxiv.quant-ph/0201100,
title = {A General Approach of Quasi-Exactly Solvable Schroedinger Equations},
author = {N. Debergh and J. Ndimubandi and B. Van den Bossche},
journal= {arXiv preprint arXiv:quant-ph/0201100},
year = {2009}
}
Comments
23 pages, no figure