1202.5044 (Robert Paul Salazar et al.)

Constrained quantum mechanics: chaos in non-planar billiards    [PDF]

Robert Paul Salazar, Gabriel Tellez

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.

View original: http://arxiv.org/abs/1202.5044