Physics NotePublished
Bogomolny Section for the Stadium. I. Quantum Theory
J.S. Espinoza Ortiz; A. M. Ozorio de Almeida
1996
Publication details
- Authors
- J.S. Espinoza Ortiz; A. M. Ozorio de Almeida
- Type
- Physics Note
- Status
- Published
- Publication date
- 1996
- Description
- The quarter-stadium can be decomposed into a rectangle and a quarter-circle; in each of these the Helmholtz equation is separable. We thus construct Green functions for both regions and a fully quantum mechanical Bogomolny matrix. There results a very efficient algorithm for calculating eigenvalues and eigenfunctions. We discuss the relation of the family of periodic `bouncing ball' orbits to the contribution of the non-oscillating modes.
- Year
- 1996
- Number
- CBPF-NF-083/96
- Linked to a thesis
- No
- Linked to a grant
- No