Work

Weyl formulas for annular ray-splitting billiards

Year: 2003

Type: article

Abstract: We consider the distribution of eigenvalues for the wave equation in annular (electromagnetic or acoustic) ray-splitting billiards. These systems are interesting in that the derivation of the associated smoothed spectral counting function can be considered as a canonical problem. This is achieved by extending a formalism developed by Berry and Howls for ordinary (without ray-splitting) billiards [Berry and Howls, Proc. R. Soc. London, Ser. A 447, 527 (1994)]. Our results are confirmed by numerical computations and permit us to infer a set of rules useful in order to obtain Weyl formulas for more general ray-splitting billiards.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.68.046204

Authors: Yves Décanini, Antoine Folacci

Institutions: Centre National de la Recherche Scientifique, Université de Corse Pascal Paoli, Sciences pour l'Environnement

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2028542853

FWCI: 0.633

Cites: 25

Cited by: 5

Related to: 10