Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates. (Q2766166)
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scientific article; zbMATH DE number 1695613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates. |
scientific article; zbMATH DE number 1695613 |
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27 January 2002
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supersymmetric quantum mechanics
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quasi-exact potentials
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superpotentials
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Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates. (English)
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In the frame of SUSY quantum mechanics the author constructs quasi-exact solvable (QES)potentials with arbitrary two known eigenstates. The author stresses that new in the paper is that by singular superpotentials it is derived nonsingular QES potentials. In this method superpotentials express via one generating function and the state numbers of wavefunctions depend on the properties of this function. Choosing different generating functions there obtains different nonsingular QES potentials. These potentials depend on one parameter. At some special values of parameters these potentials become exactly solvable and correspond to the harmonic oscillator.
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