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29 March 2024
 
  » arxiv » quant-ph/0506153

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On the transfer matrix method and WKB approximation for Schrödinger equation with position-dependent effective mass
C. F. Huang ; S. D. Chao ; D. R. Hang ;
Date 18 Jun 2005
Subject Quantum Physics; Materials Science | quant-ph cond-mat.mtrl-sci
AbstractWe derive a set of coupled differential equations corresponding to the continuous limit of the transfer matrix method, which is a numerical approach to solve the one-dimensional quantum system with the position-dependent effective mass (PDEM). An extension to the Wentzel-Kramers-Brillouin approximation is obtained by decoupling such a set of equations. In the classically allowed region, the decoupling is to ignore the reflection resulting from the variations of both the potential and effective mass.
Source arXiv, quant-ph/0506153
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