Quantum Caustics for Systems with Quadratic Lagrangians in Multi-Dimensions
Abstract
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.
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