Quantizing Billiards with Arbitrary Trajectories
Debabrata Biswas
Abstract
The structure of the semiclassical trace formula can be used to construct a quasi-classical evolution operator whose spectrum has a one-to-one correspondence with the semiclassical quantum spectrum. We illustrate this for marginally unstable integrable and non-integrable billiards and demonstrate its utility by quantizing them using arbitrary non-periodic trajectories.
Create a lesson
Related papers
Chaotic eigenfunctions in phase space
S. Nonnenmacher, A. Voros
Improved control of delayed measured systems
Jens Christian Claussen, Heinz Georg Schuster
The accurate and comprehensive model of thin fluid flows with inertia on curved substrates
A. J. Roberts, Zhenquan Li
On periodic solutions of a Hamilton-Jacobi equation with periodic forcing
Andrei Sobolevskii
Drifters dispersion in the Adriatic Sea: Lagrangian data and chaotic model
Guglielmo Lacorata, Erik Aurell, Angelo Vulpiani
Generalized multibaker maps for open dissipative systems
Z. Kaufmann, P. Szépfalusy