Constrained quantum mechanics: chaos in non-planar billiards
Quantum Physics
2012-06-12 v1 Chaotic Dynamics
Popular Physics
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.
Keywords
Cite
@article{arxiv.1202.5044,
title = {Constrained quantum mechanics: chaos in non-planar billiards},
author = {Robert Paul Salazar and Gabriel Tellez},
journal= {arXiv preprint arXiv:1202.5044},
year = {2012}
}