Transfer matrices for piecewise constant potentials

Authors

  • G.F. Torres del Castillo
  • I. Rubalcava García

Keywords:

Scattering, transfer matrix, quasinormal modes, layered systems

Abstract

By expressing the time-independent Schrödinger equation in one dimension as a system of two first-order differential equations, the transfer matrix for a rectangular potential barrier is obtained making use of the matrix exponential. It is shown that the transfer matrix allows one to find the bound states and the quasinormal modes. A similar treatment for the one-dimensional propagation of electromagnetic waves in a homogeneous medium is also presented.

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Published

2006-01-01

How to Cite

[1]
G. Torres del Castillo and I. Rubalcava García, “Transfer matrices for piecewise constant potentials”, Rev. Mex. Fis. E, vol. 52, no. 2 Jul-Dec, pp. 172–176, Jan. 2006.

Issue

Vol. 52 No. 2 Jul-Dec (2006): Revista Mexicana de Física E

Section

Artículos

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Copyright (c) 2019 Revista Mexicana de Física E

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