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arXiv · hep-th/9810156

Quantum Caustics for Systems with Quadratic Lagrangians

K. Horie·H. Miyazaki·I. Tsutsui·S. Tanimura
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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.

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K. Horie, H. Miyazaki, I. Tsutsui, S. Tanimura. 1998-12-10. Quantum Caustics for Systems with Quadratic Lagrangians. https://doi.org/10.1006/aphy.1999.5905

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