# Transfermatrix in scattering theory: a survey of basic properties and recent developments

@article{Mostafazadeh2020TransfermatrixIS,
title={Transfermatrix in scattering theory: a survey of basic properties and recent developments},
journal={TURKISH JOURNAL OF PHYSICS},
year={2020}
}
• Published 22 September 2020
• Physics, Mathematics
• TURKISH JOURNAL OF PHYSICS
We give a pedagogical introduction to time-independent scattering theory in one dimension focusing on the basic properties and recent applications of transfer matrices. In particular, we begin surveying some basic notions of potential scattering such as transfer matrix and its analyticity, multi-delta-function and locally periodic potentials, Jost solutions, spectral singularities and their time-reversal, and unidirectional reflectionlessness and invisibility. We then offer a simple derivation…
4 Citations

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