Physics NotePublished
Quantum Section Method for the Soft Stadium
J.S. Espinoza Ortiz; A. M. Ozorio de Almeida
1998
Publication details
- Authors
- J.S. Espinoza Ortiz; A. M. Ozorio de Almeida
- Type
- Physics Note
- Status
- Published
- Publication date
- 1998
- Description
- The Soft Stadium is defined by a monomial potential with exponent <math> 2\alpha\,\!</math> as a parameter, such that <math>\alpha\rightarrow\infty \,\!</math>, correspond to the billard. The practical use of the quantum section method depends only the partial separability of the system on both sides of a section. This is possible for all <math>\alpha's\,\!</math>. In particular, for <math>\alpha=1\,\!</math>, the system becomes globally separable, allowing for a general test of the method. We also tested the use of the asymptotic W.K.B. type approximation for higher energy eigenvalues. We show that all these alternative methods are in excelent agreement.
- Year
- 1998
- Number
- CBPF-NF-042/98
- Linked to a thesis
- No
- Linked to a grant
- No