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arXiv:0808.1642 [math-ph]AbstractReferencesReviewsResources

Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics

D. E. Alvarez-Castillo

Published 2008-08-12, updated 2009-12-08Version 2

Orthogonal Polynomials in Quantum Mechanics. Exact solutions of the Schrodinger equation with the hyperbolic Scarf potential (Scarf II) in terms of Romanovski polynomials. Among the applications included is the solution of the problem of an electron within a particular potential leading to the definition of new non-spherical angular functions.

Comments: 72 pages, 45 figures, Master Thesis, March 2007. v2) Typos corrected
Categories: math-ph, math.MP, quant-ph
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