Remarks on the solution of the position-dependent mass Schrodinger equation

An approximate method is proposed to solve the position-dependent mass (PDM) Schrodinger equation. The procedure suggested here leads to the solution of the PDM Schrodinger equation without transforming the potential function to the mass space or vice versa. The method based on the asymptotic Taylor expansion of the function produces an approximate analytical expression for eigenfunction and numerical results for eigenvalues of the PDM Schrodinger equation. The results show that the PDM and constant mass Schrodinger 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.