Sum rules for quantum billiards
- 21 February 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (3) , L111-L115
- https://doi.org/10.1088/0305-4470/19/3/004
Abstract
The authors write explicit integral expressions for sums of inverse powers of the eigenvalues of the Laplacian with Dirichlet boundary conditions in a simply connected bounded two-dimensional domain.Keywords
This publication has 2 references indexed in Scilit:
- Arithmetical degeneracies in simple quantum systemsJournal of Physics A: General Physics, 1986
- Distribution of eigenfrequencies for the wave equation in a finite domainAnnals of Physics, 1970