The analytical transfer matrix method for quantum reflection

doi:10.1088/1674-1056/19/4/040307

Abstract In this paper, the analytical transfer matrix method (ATMM) is applied to study the properties of quantum reflection in three systems: a sech

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barrier, a ramp potential and an inverse harmonic oscillator. Our results agree with those obtained by Landau and Lifshitz [Landau L D and Lifshitz E M 1977 Quantum Mechanics (Non-relativistic Theory) (New York: Pergamon)], which proves that ATMM is a simple and effective method for quantum reflection.

Keywords: analytical transfer matrix method quantum reflection reflection coefficient transmission coefficient reflection time

Received: 12 June 2008
Revised: 04 July 2009
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Fd	(Algebraic methods)
	02.10.Yn	(Matrix theory)

Fund: Project supported by Science Foundation of Nantong University (Grant Nos.~03080122 and 09ZY001).

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Xu Tian(许田), Cao Zhuang-Qi(曹庄琪), and Fang Jing-Huai(方靖淮) The analytical transfer matrix method for quantum reflection 2010 Chin. Phys. B 19 040307

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