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A General Approach of Quasi-Exactly Solvable Schroedinger Equations

N. Debergh·J. Ndimubandi·B. Van den Bossche
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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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N. Debergh, J. Ndimubandi, B. Van den Bossche. 2002-01-22. A General Approach of Quasi-Exactly Solvable Schroedinger Equations. https://doi.org/10.1006/aphy.2002.6260

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