Analytical solution to position dependent mass Schrödinger equation

Details Analytical solution to position dependent mass Schrödinger equation Analytical solution to position dependent mass Schrödinger equation

2010-10-08

arxiv.org/abs/1010.1744v1

J. Mod. Opt. 58, 652 (2011)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 4 figures

Scientific paper

10.1080/09500340.2011.562617

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 $m(x)$ particle scattered by a potential $\mathcal{V}(x)$. We also studied the structural analogy between PDMSE and two-level atomic system interacting with a classical field.

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