# A Dynamical Formulation of One-Dimensional Scattering Theory and Its Applications in Optics

@article{Mostafazadeh2014ADF,
title={A Dynamical Formulation of One-Dimensional Scattering Theory and Its Applications in Optics},
journal={Annals of Physics},
year={2014},
volume={341},
pages={77-85}
}
• Published 2 October 2013
• Physics, Mathematics
• Annals of Physics
We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical equations. By decoupling and partially integrating these equations, we reduce the scattering problem to a second order linear differential equation with universal initial conditions that is equivalent to an initial-value time-independent Schrodinger equation…

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