2001/02/09 by Jeremy B. Maddox, Maddox, Jeremy B., Eric R. Bittner +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0102055
4 pages 2 figures
arxiv created 2001/02/09 · arxiv updated 2009/12/01
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.