Quantum Caustics for Systems with Quadratic Lagrangians

Details Quantum Caustics for Systems with Quadratic Lagrangians Quantum Caustics for Systems with Quadratic Lagrangians

1998-10-21

arxiv.org/abs/hep-th/9810156v2

Annals Phys. 273 (1999) 267-298

Physics

High Energy Physics

High Energy Physics - Theory

TeX, 37 pages, 3 figures, Corrected typos and eq.(3.21)

Scientific paper

10.1006/aphy.1999.5905

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.

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