12 citations · 16 across the 3 of their papers we have counts for
3 papers
nlin.CD2001★ 12 cited
Vibrating quantum billiards on Riemannian manifolds
Mason A. Porter, Richard L. Liboff
Quantum billiards provide an excellent forum for the analysis of quantum chaos. Toward this end, we consider quantum billiards with time-varying surfaces, which provide an importan…
nlin.CD2001
The Radially Vibrating Spherical Quantum Billiard
Mason A. Porter, Richard L. Liboff
We consider the radially vibrating spherical quantum billiard as a representative example of vibrating quantum billiards. We derive necessary conditions for quantum chaos in -te…
nlin.CD2001★ 4 cited
Bifurcations in one degree-of-vibration quantum billiards
Mason A. Porter, Richard L. Liboff
We classify the local bifurcations of one dov quantum billiards, showing that only saddle-center bifurcations can occur. We analyze the resulting planar system when there is no cou…