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arXiv · 0706.1036

Transfer matrices for piecewise constant potentials

Abstract

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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G. F. Torres del Castillo, I. Rubalcava Garcia. 2007-06-07. Transfer matrices for piecewise constant potentials. https://arxiv.org/abs/0706.1036

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