Abstract
Given a spatially dependent mass, we obtain the 2-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 Schrödinger equations with constant mass using point canonical transformation. The one-dimensional oscillator class is considered and examples are given for several mass distributions.
| Original language | English |
|---|---|
| Pages (from-to) | 2999-3009 |
| Number of pages | 11 |
| Journal | International Journal of Theoretical Physics |
| Volume | 42 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2003 |
Keywords
- Effective mass
- Green's function
- Oscillator class
- Point canonical transformation
- Position-dependent mass
ASJC Scopus subject areas
- General Mathematics
- Physics and Astronomy (miscellaneous)
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