Packets in the Classical Asymmetric Infinite Square Well

Details Packets in the Classical Asymmetric Infinite Square Well Packets in the Classical Asymmetric Infinite Square Well

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...20912108c&link_type=abstract

2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #121.08; Bulletin of the American Astronomical Society,

Mathematics

Probability

Scientific paper

In quantum mechanics, it is common to compare the probability distribution of a particle with its classical analog. In particular, the comparison between “stationary states” and classical probability distributions is often used to illustrate the Correspondence Principle in quantum mechanics. An alternative approach is to compare a quantum wave-packet with a similar collection of classical particles with slightly varying initial conditions. We will use computer simulations to compare classical “expectation values” and phase-space distributions with their quantum analogs, focusing in particular on the asymmetric infinite square well. Emphasis will be placed on the relationship between classical and quantum phenomena and results.

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