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Semi-classical correction for quantum-mechanical scattering

✍ Scribed by Srihari Keshavamurthy; William H. Miller

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 499 KB
Volume: 218
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(93)e1485-y

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✦ Synopsis

A straightforward theoretical prescription is described for combining any approximate quantum scattering calculation with a semi-classical correction. The correction involves the standard semi-classical approximation to the time evolution operator, so that only real time trajectories are needed, by transforming to an initial value representation the calculations require only an average over the phase space of initial conditions. To the extent that the semi-classical approximation is accurate, the net result for the S matrix is exact. Application to one-dimensional barrier transmission shows the semi-classical approximation to do a very good job, for energies above, near to, or far below the barrier.

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