Year: 2000
Type: article
Abstract: We apply a recently developed semiclassical theory of short periodic orbits to the stadium billiard. We give explicit expressions for the resonances of periodic orbits and for the application of the semiclassical Hamiltonian operator to them. Then, by using the three shortest periodic orbits and two more living in the bouncing-ball region, we obtain the first 25 odd-odd eigenfunctions with surprising accuracy.
Authors: Eduardo G Vergini, Gabriel G Carlo
Institution: Comisión Nacional de Energía Atómica
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2064907458