Analytical solution to position dependent mass Schr\"odinger equation
Other Condensed Matter
2011-06-07 v1 Atomic Physics
Quantum Physics
Abstract
Using a recently developed technique to solve Schr\"odinger equation for constant mass, we studied the regime in which mass varies with position i.e position dependent mass Schr\"odinger equation(PDMSE). We obtained an analytical solution for the PDMSE and applied our approach to study a position dependent mass particle scattered by a potential . We also studied the structural analogy between PDMSE and two-level atomic system interacting with a classical field.
Keywords
Cite
@article{arxiv.1010.1744,
title = {Analytical solution to position dependent mass Schr\"odinger equation},
author = {Pankaj K. Jha and Hichem Eleuch and Yuri V. Rostovtsev},
journal= {arXiv preprint arXiv:1010.1744},
year = {2011}
}
Comments
5 pages, 4 figures