Nonrelativistic Green's function for systems with position-dependent mass
凝聚态物理
2016-08-31 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.cond-mat/0303537,
title = {Nonrelativistic Green's function for systems with position-dependent mass},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:cond-mat/0303537},
year = {2016}
}
备注
11 pages, 3 figures, 1 table