Urbina, Juan Diego and Richter, Klaus (2004) Semiclassical construction of random wave functions for confined systems. PHYSICAL REVIEW E, 70 (1): 015201. ISSN 1539-3755,
Full text not available from this repository.Abstract
We develop a statistical description of chaotic wave functions in closed systems obeying arbitrary boundary conditions by combining a semiclassical expression for the spatial two-point correlation function with a treatment of eigenfunctions as Gaussian random fields. Thereby we generalize Berry's isotropic random wave model by incorporating confinement effects through classical paths reflected at the boundaries. Our approach allows one to explicitly calculate highly nontrivial statistics, such as intensity distributions, in terms of usually few short orbits, depending on the energy window considered. We compare with numerical quantum results for the Africa billiard and derive nonisotropic random wave models for other prominent confinement geometries.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MIXED BOUNDARY-CONDITIONS; QUANTUM DOTS; CHAOTIC EIGENFUNCTIONS; BILLIARDS; FLUCTUATIONS; STATISTICS; SCARS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Jul 2021 09:59 |
| Last Modified: | 12 Jul 2021 09:59 |
| URI: | https://pred.uni-regensburg.de/id/eprint/37517 |
Actions (login required)
 |
View Item |
