Abstract

TORRES DEL CASTILLO, G.F.  and  RUBALCAVA GARCIA, I.. Transfer matrices for piecewise constant potentials. Rev. mex. fís. E [online]. 2006, vol.52, n.2, pp.172-176. ISSN 1870-3542.

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.

Keywords : Scattering; transfer matrix; quasinormal modes; layered systems.

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