Simulation of elastic quantum scattering at atomic collisions in the semiclassical approximation including interference effects

Simulation of elastic quantum scattering at atomic collisions in the semiclassical approximation... The paper presents the results of simulation of quantum scattering of a structureless particle at an immobile center of force within semiclassical limits. By direct numerical experiments, the probability densities of scattering of such particles through a particular angle are calculated for the entire spectrum of angles. The scattering is treated taking into account the effect of orbiting [1–3]. To take this effect into account, the fine structure of the dependence of the angular deflection upon the impact parameter is studied. The bundled software designed for numerical experiments is described. The experiments are based on the same general algorithm suitable for calculations of the characteristics of quantum scattering with inclusion of interference brought about on the scattering of particles in different regions of unsteadily varying potential. This algorithm can be used in calculating the characteristics of the scattering of any potential, including noncentral potentials. In the simulation, the centrally symmetric Lennard-Jones potential is used. The dependence of the angle distribution on the density of scattered particles is clarified. The algorithm is theoretically justified. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Microelectronics Springer Journals

Simulation of elastic quantum scattering at atomic collisions in the semiclassical approximation including interference effects

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Engineering; Electrical Engineering
ISSN
1063-7397
eISSN
1608-3415
D.O.I.
10.1134/S1063739709050023
Publisher site
See Article on Publisher Site

Abstract

The paper presents the results of simulation of quantum scattering of a structureless particle at an immobile center of force within semiclassical limits. By direct numerical experiments, the probability densities of scattering of such particles through a particular angle are calculated for the entire spectrum of angles. The scattering is treated taking into account the effect of orbiting [1–3]. To take this effect into account, the fine structure of the dependence of the angular deflection upon the impact parameter is studied. The bundled software designed for numerical experiments is described. The experiments are based on the same general algorithm suitable for calculations of the characteristics of quantum scattering with inclusion of interference brought about on the scattering of particles in different regions of unsteadily varying potential. This algorithm can be used in calculating the characteristics of the scattering of any potential, including noncentral potentials. In the simulation, the centrally symmetric Lennard-Jones potential is used. The dependence of the angle distribution on the density of scattered particles is clarified. The algorithm is theoretically justified.

Journal

Russian MicroelectronicsSpringer Journals

Published: Sep 19, 2009

References

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