Transfer matrices for piecewise constant potentials

Details Transfer matrices for piecewise constant potentials Transfer matrices for piecewise constant potentials

2007-06-07

arxiv.org/abs/0706.1036v1

Rev. Mex. Fis. E, 52 (2006) 172

Physics

Classical Physics

10 pages

Scientific paper

By expressing the time-independent Schrodinger 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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