Exactly Solvable Potentials and Romanovski Polynomials in Quantum Mechanics

Understand

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.