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Multidimensional harmonic oscillator matrix elements (1989)

Fernández, Francisco M. ; Tipping, R. H.

College Park, Md. : American Institute of Physics (AIP)

The Journal of Chemical Physics 91 (1989), S. 5505-5508

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ISSN: 1089-7690

Source: AIP Digital Archive

Topics: Physics , Chemistry and Pharmacology

Notes: Multidimensional harmonic oscillator matrix elements of arbitrary products of exponentials for operators containing only linear and quadratic terms in the creation and annihilation operators are obtained. A simple and straightforward method is presented that leads to recurrence relations and generating functions for such matrix elements. Results are shown to be general enough to cover the cases of Franck–Condon overlaps, transition probabilities for time-dependent harmonic oscillators, and correlation functions for electronic spectra.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.457553

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