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Quantum macroscopic equations from Bohm potential and propagation of waves

Author

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  • Mostacci, D.
  • Molinari, V.
  • Pizzio, F.

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.

Suggested Citation

  • Mostacci, D. & Molinari, V. & Pizzio, F., 2008. "Quantum macroscopic equations from Bohm potential and propagation of waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6771-6777.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:27:p:6771-6777
    DOI: 10.1016/j.physa.2008.09.011
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    Cited by:

    1. Molinari, Vincenzo & Mostacci, Domiziano, 2015. "Dispersion relation of longitudinal waves in liquid He-4 in the framework of quantum macroscopic equations derived from Bohm’s potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 28-35.

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