Stochastic and Hydrodynamic Approaches to Quantum Mechanics
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".
Deadline for manuscript submissions: closed (31 July 2020)
Special Issue Information
Dear Colleagues,
The probabilistic nature of quantum mechanics suggests a stochastic-based interpretation to its underlying physics, which differs from the orthodox Copenhagen one.
It therefore hints that quantum mechanics is a mean theory describing the particle ensemble average properties, resulting from stochastic motion, rather than describing the actual motion of a single particle. This is somewhat similar to the way in which hydrodynamics is a theory for the mean dynamical properties of the fluid rather than for its individual molecules. Since the pioneering works by Madelung, Bohm, Fenyes, and Nelson, which established this alternative perspective, substantial progress has been made by many researchers throughout the years. Nevertheless, this stochastic hydrodynamic-like approach has remained a side alley in the theory of quantum mechanics.
We here invite researchers to submit their contributions, both about recent results and review papers, in order to expand this side alley to a more central street in the theory of quantum mechanics. Focus is welcome on how this approach helps in understanding quantum information and entropy evolution in quantum systems.
Prof. Eyal Heifetz
Guest Editor
Manuscript Submission Information
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Keywords
- stochastic dynamics
- ensemble mean
- hydrodynamic analogy
- quantum information
- entropy in quantum systems
