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Journal of Physics Conference Series

The quantum trajectory approach in description of ion-atom collisions

V.A. Khodyrev, I. K. Gainullin

Published Nov 5, 2012• 0 citations
Publisher

Abstract

The possibilities of quantum trajectory method in interpretation and description of electron state evolution in ion-atom collisions is explored. Results for the simplest case of proton collision with hydrogen atom will be presented.
DOI
10.1088/1742-6596/388/8/082030

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We present the results of a quantum calculation designed to discuss the dynamics of an ion–atom collision at intermediate velocities. The description is based on a quantum fluid picture. The time-dependent Schrodinger equation is integrated numerically for a model proton–hydrogen collision and quantum trajectories are computed. By these means, we obtain a pictural view of the scattering process. Analysis of the resulting trajectories yields insights into the dynamics of the physical phenomena involved, with special emphasis on ionization.
A connection between quantum mechanics and classical methods used in ion-atom collisions is developed. The connection is based on the fluid dynamical interpretation of the one-electron quantum wavefunction. The classical trajectory Monte Carlo method and the Thomson approximation are obtained as quantum models and the wavefunctions associated with these approximations are defined. A discussion is given of the procedure to be used to calculate scattering cross sections. Scaling laws derivable from the classical Liouville equation are deduced in the impact parameter formalism.
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