A General Approach of Quasi-Exactly Solvable Schroedinger Equations
N. Debergh, J. Ndimubandi, B. Van den Bossche
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.
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