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Chemical Physics Letters

Spreading and recurrence in anharmonic quantum-mechanical systems

Ellen B. Stechel, Robert N. Schwartz

Published Oct 1, 1981• 26 citations
Publisher
DOI
10.1016/0009-2614(81)85478-4

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We consider a single quantum state coupled equally to each of a set of evenly spaced quasicontinuum (QC) states. We obtain a delay differential equation for the initial-state probability amplitude, and this equation is solved analytically. When the QC-level spacing goes to zero, the initial-state probability decays exactly exponentially. For finite QC-level spacings, however, there are recurrences of initial-state probability. We discuss Tolman's "quantum-mechanical spreading" of probability and also a classical analog of our model.