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A semiclassical correlation function approach to barrier tunneling

✍ Scribed by Frank Grossmann; Eric J. Heller

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 519 KB
Volume: 241
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(95)00605-4

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✦ Synopsis

A time domain approach employing the semiclassical approximation to the quantum mechanical propagator, as applied to Gaussian wavepackets, is used to study the barrier penetration problem. We have observed that qualitative agrepment with the exact quantum calculations for the correlation function and the transmission probability can be achieved by considering only classically allowed trajectories. The results slowly tend to the classical step function at the barrier top as a function of the wavepacket center parameter, however. We suggest that a full semiclassical calculation, including nonclassical trajectories with complex energies, would improve the results.

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