Nonrelativistic Green's function for systems with position-dependent mass

Abstract

Given a spatially dependent mass we obtain the two-point Green's function for exactly solvable nonrelativistic problems. This is accomplished by mapping the wave equation for these systems into well-known exactly solvable Schrodinger equations with constant mass using point canonical transformation. The one-dimensional oscillator class is considered and examples are given for several mass distributions.

11 pages, 3 figures, 1 table

References in corpus (5)

• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• Exact solvability of potentials with spatially dependent effective masses
• Supersymmetric approach to exactly solvable systems with position-dependent effective masses
• Universal behavior of quantum Green's functions
• Shape Invariant Potentials for Effective Mass Schrodinger Equation

Cited by in corpus (26)

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