Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation

Abstract

An approximate method is proposed to solve position dependent mass Schrödinger equation. The procedure suggested here leads to the solution of the PDM Schrödinger equation without transforming the potential function to the mass space or vice verse. The method based on asymptotic Taylor expansion of the function, produces an approximate analytical expression for eigenfunction and numerical results for eigenvalues of the PDM Schrödinger equation. The results show that PDM and constant mass Schrödinger equations are not isospectral. The calculations are carried out with the aid of a computer system of symbolic or numerical calculation by constructing a simple algorithm.

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Cited by in corpus (5)

• Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners
• Isochronous oscillator with a singular position-dependent mass and its quantization
• Application of the asymptotic Taylor expansion method to bistable potentials
• Generalized Liénard systems and isochronous connections
• Comparison theorems for the position-dependent mass Schroedinger equation