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Stochastic Methods for Quantum Scattering [PDF]

open access: yesarXiv, 1994
Quantum scattering at zero energy is studied with stochastic methods. A path integral representation for the scattering cross section is developed. It is demonstrated that Monte Carlo simulation can be used to compare effective potentials which are frequently used in multiple scattering with the exact result.
arxiv  

The scattering problem in Ryckman's class of Jacobi matrices [PDF]

open access: yesarXiv, 2010
We give a complete solution of the scattering problem for Jacobi matrices from a class which was recently introduced by E. Ryckman. We characterize the scattering data for this class and illustrate the inverse scattering on some simple examples.
arxiv  

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