Journal article
Quantum dynamics for dissipative systems: A hydrodynamic perspective
This paper explores the hydrodynamic description of quantum densities evolving under the effects of dissipation. For illustration, we refer to analytical solutions for a harmonic system and Markovian dissipation, and derive expressions for the hydrodynamic moments and a hydrodynamic force that represents a generalization of the quantum force of Bohmian dynamics.
Beyond this, we draw general conclusions on the dynamical transition, induced by dissipation, to a classical-like regime. In this context, the relation between the quantum-mechanical hydrodynamic picture and its classical-statistical analogue is investigated. This has some bearing upon mixed quantum-classical schemes emerging from the hydrodynamic description.
Language: | Undetermined |
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Publisher: | American Institute of Physics |
Year: | 2002 |
Pages: | 7409-7425 |
ISSN: | 10897690 and 00219606 |
Types: | Journal article |
DOI: | 10.1063/1.1509061 |