Trajectory method for the solution of the time-dependent Schrodinger equation in atomic physics and application to H+-H scattering
- 28 September 1984
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 17 (18) , 3719-3742
- https://doi.org/10.1088/0022-3700/17/18/011
Abstract
A trajectory method has been developed for the solution of the one-electron Schrodinger equation in atomic scattering problems. The method is based on the fluid dynamical interpretation of the quantum mechanical probability density and current. The time evolution is described by trajectories of particles, which represent the probability distribution. The trajectories are calculated by solving classical equations of motion with forces depending on the probability density. Results are obtained for the differential and total ionisation and charge exchange cross sections for the scattering of H+ on H.Keywords
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