Transfer matrices for piecewise constant potentials
Classical Physics
2007-06-08 v1 General Physics
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.
Cite
@article{arxiv.0706.1036,
title = {Transfer matrices for piecewise constant potentials},
author = {G. F. Torres del Castillo and I. Rubalcava Garcia},
journal= {arXiv preprint arXiv:0706.1036},
year = {2007}
}