Abstract
Some `experimental` results are given on the quantal spectrum of some billiards on two-dimensional manifolds of constant negative curvature. It is shown that the use of the Selberg trace formula may bring some interesting new results on the properties of the classical motion. Some new (and quite unexpected) results are presented about the quantal spectrum of the octagon on the hyperbolic plane. (K.A.) 8 refs.; 17 figs.; 2 tabs.
Citation Formats
Schmit, C.
Quantum and classical properties of some billiards on the hyperbolic plane.
France: N. p.,
1991.
Web.
Schmit, C.
Quantum and classical properties of some billiards on the hyperbolic plane.
France.
Schmit, C.
1991.
"Quantum and classical properties of some billiards on the hyperbolic plane."
France.
@misc{etde_10109772,
title = {Quantum and classical properties of some billiards on the hyperbolic plane}
author = {Schmit, C}
abstractNote = {Some `experimental` results are given on the quantal spectrum of some billiards on two-dimensional manifolds of constant negative curvature. It is shown that the use of the Selberg trace formula may bring some interesting new results on the properties of the classical motion. Some new (and quite unexpected) results are presented about the quantal spectrum of the octagon on the hyperbolic plane. (K.A.) 8 refs.; 17 figs.; 2 tabs.}
place = {France}
year = {1991}
month = {Dec}
}
title = {Quantum and classical properties of some billiards on the hyperbolic plane}
author = {Schmit, C}
abstractNote = {Some `experimental` results are given on the quantal spectrum of some billiards on two-dimensional manifolds of constant negative curvature. It is shown that the use of the Selberg trace formula may bring some interesting new results on the properties of the classical motion. Some new (and quite unexpected) results are presented about the quantal spectrum of the octagon on the hyperbolic plane. (K.A.) 8 refs.; 17 figs.; 2 tabs.}
place = {France}
year = {1991}
month = {Dec}
}