Quantum Liouville-space trajectories for dissipative systems
| dc.creator | Maddox, Jeremy B. | |
| dc.creator | Bittner, Eric R. | |
| dc.date | 2001-02-09 | |
| dc.date.accessioned | 2026-07-07T06:01:37Z | |
| dc.date.available | 2026-07-07T06:01:37Z | |
| dc.description | In this paper we present a new quantum-trajectory based treatment of quantum dynamics suitable for dissipative systems. Starting from a de Broglie/Bohm-like representation of the quantum density matrix, we derive and define quantum equations-of-motion for Liouville-space trajectories for a generalized system coupled to a dissipative environment. Our theory includes a vector potential which mixes forward and backwards propagating components and non-local quantum potential which continuously produces coherences in the system. These trajectories are then used to propagate an adaptive Lagrangian grid which carries the density matrix, $ρ(x,y)$, and the action, $A(x,y)$, thereby providing a complete hydrodynamic-like description of the dynamics. | |
| dc.description | 4 pages 2 figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0102055 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0102055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89322 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum Liouville-space trajectories for dissipative systems | |
| dc.type | text |