Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-26
Annals Phys. 279 (2000) 104-125
Physics
High Energy Physics
High Energy Physics - Theory
TeX file, 27 pages, 2 figures
Scientific paper
10.1006/aphy.1999.5971
We study quantum caustics in $d$-dimensional systems with quadratic Lagrangians. Based on Schulman's procedure in the path-integral we derive the transition amplitude on caustics in a closed form for generic multiplicity $f$, and thereby complete the previous analysis carried out for the maximal multiplicity case $f=d$. Multiplicity dependence of the caustics phenomena is illusrated by examples of a particle interacting with external electromagnetic fields.
Horie Kenichi
Miyazaki Hitoshi
Tsutsui Izumi
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