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Quantum Physics

arXiv:0711.1046 (quant-ph)
[Submitted on 7 Nov 2007 (v1), last revised 10 Jul 2008 (this version, v2)]

Title:Classical probability waves

Authors:M. Grigorescu
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Abstract: Probability waves in the configuration space are associated with coherent solutions of the classical Liouville or Fokker-Planck equations. Distributions localized in the momentum space provide action waves, specified by the probability density and the generating function of the Hamilton-Jacobi theory. It is shown that by introducing a minimum distance in the coordinate space, the action distributions aquire the energy dispersion specific to the quantum objects. At finite temperature, probability density waves propagating with the sound velocity are obtained as nonstationary solutions of the classical Fokker-Planck equation. The results suggest that in a system of quantum Brownian particles, a transition from complex to real probability waves could be observed.
Comments: 15 pages, added Appendix 2
Subjects: Quantum Physics (quant-ph); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
Cite as: arXiv:0711.1046 [quant-ph]
  (or arXiv:0711.1046v2 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.0711.1046
Journal reference: Physica A 387, 6497 (2008)
Related DOI: https://doi.org/10.1016/j.physa.2008.08.012

Submission history

From: Marius Grigorescu [view email]
[v1] Wed, 7 Nov 2007 09:47:58 UTC (9 KB)
[v2] Thu, 10 Jul 2008 10:17:06 UTC (11 KB)
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