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D. E. Alvarez-Castillo and M. Kirchbach, “Exact Spectrum and Wave Functions of the Hyperbolic Scarf Potential in Terms of Finite Romanovski Polynomials,” Revista Mexicana de Fisica, Vol. E53, No. 2, 2007, pp. 143-154.

has been cited by the following article:

• TITLE: Construction of Exactly Solvable Ring-Shaped Potentials

  AUTHORS: Arup Bharali, Ngangkham Nimai Singh

  KEYWORDS: Schrödinger Equation; Extended Transformation; Special Function; Ring-Shaped Potential; Normalization

  JOURNAL NAME: Journal of Modern Physics, Vol.4 No.4, April 19, 2013

  ABSTRACT: We propose a method for construction of exactly solvable ring-shaped potentials where the linear homogeneous second-order differential equation satisfied by special function is subjected to the extended transformation comprising a coordinate transformation and a functional transformation to retrieve the standard Schr?dinger polar angle equation form in non-relativistic quantum mechanics. By invoking plausible ansatze, exactly solvable ring-shaped potentials and corresponding angular wave functions are constructed. The method is illustrated using Jacobi and hypergeometric polynomials and the wave functions for the constructed ring-shaped potentials are normalized.