Kuipers, Jack and Waltner, Daniel and Gutierrez, Martha and Richter, Klaus (2009) The semiclassical continuity equation for open chaotic systems. NONLINEARITY, 22 (8). pp. 1945-1964. ISSN 0951-7715,
Full text not available from this repository. (Request a copy)Abstract
We consider the continuity equation for open chaotic quantum systems in the semiclassical limit. First we explicitly calculate a semiclassical expansion for the probability current density using an expression based on classical trajectories. The current density is related to the survival probability via the continuity equation, and we show that this relation is satisfied within the semiclassical approximation to all orders. For this we develop recursion relation arguments which connect the trajectory structures involved for the survival probability, which travel from one point in the bulk to another, to those structures involved for the current density, which travel from the bulk to the lead. The current density can also be linked, via another continuity equation, to a correlation function of the scattering matrix whose semiclassical approximation is expressed in terms of trajectories that start and end in the lead. We also show that this continuity equation holds to all orders.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SPECTRAL STATISTICS; PERIODIC-ORBITS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Sep 2020 08:30 |
| Last Modified: | 10 Sep 2020 08:30 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28661 |
Actions (login required)
 |
View Item |
