Generation of Exactly Solvable Potentials of Position-Dependent Mass Schrödinger Equation from Hulthen Potential

Hangshadhar Rajbongshi, Ngangkham Nimai Singh

Physics Department, Gauhati University, Guwahati, India.
Physics Department, Nalbari College, Nalbari, India.

DOI: 10.4236/jmp.2013.411189                

Abstract

Exactly Solvable Potentials (ESPs) of Position-Dependent Mass (PDM) Schrodinger equation are generated from Hulthen Potential (parent system) by using Extended Transformation (ET) method. The method includes a Co-ordinate Transformation (CT) followed by Functional Transformation (FT) of wave function. Mass function of parent system gets transformed to that of generated system. Two new ESPs are generated. The explicit expressions of mass functions, energy eigenvalues and corresponding wave functions for newly generated potentials (systems) are derived. System specific regrouping method is also discussed.

Keywords

Position-Dependent Mass; Hulthen Potential; Co-Ordinate Transformation; Extended Transformation; Exact Analytic Solution

Conflicts of Interest

The authors declare no conflicts of interest.

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