Quantum macroscopic equations from Bohm potential and propagation of waves

D. Mostacci, V. Molinari and F. Pizzio

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 27, 6771-6777

Abstract: Bohm’s interpretation of Quantum Mechanics leads to the derivation of a Quantum Kinetic Equation. In the present work, moments of this kinetic equation are taken, thus deriving conservation equations. These macroscopic equations are then applied to study the propagation of longitudinal density perturbations in neutral gases and plasmas, of either fermions or bosons. The dispersion relation is derived and the effect of the Bohm potential shown; the speed of propagation calculated and the difference between fermions and bosons investigated. Pseudosonic waves in quantum plasmas are obtained including the effect of the Bohm potential.

Keywords: Bohm potential; Quantum macroscopic equations; Longitudinal waves; Quantum sound waves (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:27:p:6771-6777

DOI: 10.1016/j.physa.2008.09.011

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