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arXiv · 1202.5044

Constrained quantum mechanics: chaos in non-planar billiards

Robert Paul Salazar·Gabriel Tellez
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Abstract

We illustrate some of the techniques to identify chaos signatures at the quantum level using as a guiding examples some systems where a particle is constrained to move on a radial symmetric, but non planar, surface. In particular, two systems are studied: the case of a cone with an arbitrary contour or dunce hat billiard and the rectangular billiard with an inner Gaussian surface.

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Robert Paul Salazar, Gabriel Tellez. 2012-02-21. Constrained quantum mechanics: chaos in non-planar billiards. https://doi.org/10.1088/0143-0807%2F33%2F4%2F965

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