Quantum Caustics for Systems with Quadratic Lagrangians in Multi-Dimensions
High Energy Physics - Theory
2009-10-31 v1
Abstract
We study quantum caustics in -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 , and thereby complete the previous analysis carried out for the maximal multiplicity case . Multiplicity dependence of the caustics phenomena is illusrated by examples of a particle interacting with external electromagnetic fields.
Cite
@article{arxiv.hep-th/9905189,
title = {Quantum Caustics for Systems with Quadratic Lagrangians in Multi-Dimensions},
author = {Kenichi Horie and Hitoshi Miyazaki and Izumi Tsutsui},
journal= {arXiv preprint arXiv:hep-th/9905189},
year = {2009}
}
Comments
TeX file, 27 pages, 2 figures