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A General Approach of Quasi-Exactly Solvable Schrödinger Equations

✍ Scribed by N. Debergh; J. Ndimubandi; B. Van den Bossche

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
162 KB
Volume
298
Category
Article
ISSN
0003-4916

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✦ Synopsis

We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary Schrödinger 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 Lamé and the screened Coulomb potentials.

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