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

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

2003-03-25

arxiv.org/abs/cond-mat/0303537v1

Int. J. Theor. Phys. 42, 2999 (2003)

Physics

Condensed Matter

11 pages, 3 figures, 1 table

Scientific paper

10.1023/B:IJTP.0000006027.49538.

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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