Constrained quantum mechanics: chaos in non-planar billiards

Details Constrained quantum mechanics: chaos in non-planar billiards Constrained quantum mechanics: chaos in non-planar billiards

2012-02-21

arxiv.org/abs/1202.5044v1

Physics

Quantum Physics

Scientific paper

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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