A general approach of quasi-exactly solvable Schrodinger equations

摘要

We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary Schrodinger 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. (C) 2002 Elsevier Science (USA). [References: 17]