Numerical Solution of the Time-Dependent Schrödinger Equation and Application to $H^{+}$ -H

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13 August 1979

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 43 (7) , 512-515
https://doi.org/10.1103/physrevlett.43.512

Abstract

The time-dependent Schrödinger equation for the motion of the electron in a

H^{+}

-H collision is solved numerically with a finite-difference method on an axially symmetric spatial mesh. Sample density distributions for

E_{lab} = 20

keV are shown. The calculated charge-transfer probabilities at

E_{lab} = 3.92, 7.69, and 20.1

keV are in good agreement with experiment.

Keywords

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