Quantum Caustics for Systems with Quadratic Lagrangians
arXiv:hep-th/9810156 · doi:10.1006/aphy.1999.5905
Abstract
We study caustics in classical and quantum mechanics for systems with quadratic Lagrangians. We derive a closed form of the transition amplitude on caustics and discuss their physical implications in the Gaussian slit (gedanken-)experiment. Application to the quantum mechanical rotor casts doubt on the validilty of Jevicki's correspondence hypothesis which states that in quantum mechanics, stationary points(instantons) arise as simple poles.
TeX, 37 pages, 3 figures, Corrected typos and eq.(3.21)