Abstract
In this Letter, we employ the point canonical transformation to solve the D-dimensional position-dependent effective mass Schrödinger equation with physical potentials. By mapping this wave equation into the well-known exactly solvable D-dimensional Schrödinger equation with constant mass, for a given spatial dependent mass distribution, the exact bound state solutions including the energy spectrum and corresponding wave functions are derived. As examples, the cases of the harmonic oscillator and Coulomb potential are considered.
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