Quantum Liouville-space trajectories for dissipative systems

dc.creatorMaddox, Jeremy B.
dc.creatorBittner, Eric R.
dc.date2001-02-09
dc.date.accessioned2026-07-07T06:01:37Z
dc.date.available2026-07-07T06:01:37Z
dc.descriptionIn 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.description4 pages 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0102055
dc.identifierhttp://arxiv.org/abs/quant-ph/0102055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89322
dc.subjectQuantum Physics
dc.titleQuantum Liouville-space trajectories for dissipative systems
dc.typetext

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