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Semiclassical amplitudes: Supercaustics and the whisker map

1999
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Physical Review A. Atomic, Molecular, and Optical Physics
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The semiclassical approximation for a quantum amplitude is given by the sum of contributions from intersections of the appropriate manifolds in classical phase space. The intersection overlaps are just the Van Vleck determinants multiplied by a phase given by a classical action. Here we consider two nonstandard instances of this semiclassical prescription which would appear to be on shaky ground, yet the corresponding physical situations are not unusual. The first case involves momentum-space

doi:10.1103/physreva.61.012107
fatcat:qzyyigszgfdltjwn65eceayfim