On the transfer matrix method and WKB approximation for Schrödinger equation with position-dependent effective mass

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dc.creatorHuang, C. F.
dc.creatorChao, S. D.
dc.creatorHang, D. R.
dc.creatorLee, Y. C.
dc.date2005-06-18
dc.date2008-01-11
dc.date.accessioned2026-07-07T09:46:44Z
dc.date.available2026-07-07T09:46:44Z
dc.descriptionWe have obtained a set of coupled differential equations from the continuous limit of the transfer matrix method. Decoupling such a set of equations yields an extension to the Wentzel-Kramers-Brillouin (WKB) approximation for the Schrödinger equation with the position-dependent effective mass (PDEM). In the classically allowed region, the decoupling is to ignore the reflection resulting from the variations of both the potential and effective mass. By considering an infinite-well example with the PDEM, it is shown that the extended WKB approximation can provide not only an estimation to eigenenergies, but also an analytic form to approximate wavefunctions.
dc.description10 pages, 3 figures, and 1 table. The revised manuscript has been accepted by Chinese Journal of Physics
dc.identifierhttps://arxiv.org/abs/quant-ph/0506153
dc.identifierhttp://arxiv.org/abs/quant-ph/0506153
dc.identifierChinese J. Phys. 46, 231 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163632
dc.subjectQuantum Physics
dc.subjectMaterials Science
dc.titleOn the transfer matrix method and WKB approximation for Schrödinger equation with position-dependent effective mass
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