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Conditionally exactly solvable potentials and exceptional orthogonal polynomials

โœ Scribed by Dutta, D.; Roy, P.

Book ID
121195656
Publisher
American Institute of Physics
Year
2010
Tongue
English
Weight
385 KB
Volume
51
Category
Article
ISSN
0022-2488

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A general procedure is presented to construct conditionally exactly solvable CES potentials using the techniques of supersymmetric quantum mechanics. The method is illustrated with potentials related to the harmonic oscillator problem. Besides recovering known results, new CES potentials are also ob

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We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schro