Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics

Details Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics

2008-08-12

arxiv.org/abs/0808.1642v2

Physics

Mathematical Physics

72 pages, 45 figures, Master Thesis, March 2007. v2) Typos corrected

Scientific paper

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.

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