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PhaseDifference Equations: A Calculus for Quantum Revivals
D. L. Aronstein and C. R. Stroud, Jr.
Laser Physics 15, p. 1496 (2005).
Equations describing the revival times of multimode quantum systems are transformed into a set of
phasedifference equations, which are discrete difference equations that describe the phase relationships among
the modes of the quantum system at a revival. These equations are developed using an analogy to the differential
equations satisfied by polynomials of a continuous variable and serve as a comprehensive toolkit for investigat
ing revival phenomena. We apply these equations to two examples in detail to demonstrate their utility, inves
tigating revivals of selectively populated wavefunctions in the infinite squarewell potential and of highly
excited wavepackets in arbitrary onedimensional potentials.
Click here to download the .pdf version of the paper
aronstein051.pdf (87 KB)
Web page maintained by
Hideomi Nihira ( nihira@optics.rochester.edu ).
Last modified 13 September 2006
