Quantum Caustics for Systems with Quadratic Lagrangians
High Energy Physics - Theory
2009-10-31 v2 Quantum Physics
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.
Cite
@article{arxiv.hep-th/9810156,
title = {Quantum Caustics for Systems with Quadratic Lagrangians},
author = {K. Horie and H. Miyazaki and I. Tsutsui and S. Tanimura},
journal= {arXiv preprint arXiv:hep-th/9810156},
year = {2009}
}
Comments
TeX, 37 pages, 3 figures, Corrected typos and eq.(3.21)