Mathematics – Probability
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...20912103s&link_type=abstract
2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #121.03; Bulletin of the American Astronomical Society,
Mathematics
Probability
Scientific paper
In quantum mechanics, a localized wave packet serves as the analog to a classical particle. Motions of such packets, whether free or bound, are often studied. The intermediate step between a free packet and a packet in the infinite square well (ISW) is the single ‘bounce’ of a quantum wave packet off a single infinitely high and thick potential energy wall. This case is particularly interesting because much of the dynamics can be solved exactly using the method of images. This process uses two wave packets that are mirror images of each other, both in position and in momentum. We will discuss the general solution to this problem and also our series solution of the Wigner quasi-probability distribution in phase space. This ‘mirror bounce’ solution is tested for validity by comparison with results for the infinite square well under similar conditions.
Work on this project was sponsored by Mario Belloni.
Belloni Mario
Sheibley David L.
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