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},
  author={Ali Mostafazadeh},
  journal={Annals of Physics},
  year={2014},
  volume={341},
  pages={77-85}
}
  • A. Mostafazadeh
  • 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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