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

A. D. Alhaidari
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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.

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A. D. Alhaidari. 2003-03-25. Nonrelativistic Green's function for systems with position-dependent mass. https://doi.org/10.1023/b%3Aijtp.0000006027.49538.16

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