Communications in Mathematical Physics

, Volume 79, Issue 1, pp 9–24 | Cite as

Vlasov hydrodynamics of a quantum mechanical model

  • Heide Narnhofer
  • Geoffrey L. Sewell


We derive the Vlasov hydrodynamics from the microscopic equations of a quantum mechanical model, which simulates that of an assembly of gravitating particles. In addition we show that the local microscopic dynamics of the model corresponds, on a suitable time-scale, to that of an ideal Fermi gas.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Mechanical Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hepp, K., Lieb, E.: Helv. Phys. Acta46, 573–603 (1973)Google Scholar
  2. 2.
    Martin, Ph.: Modèles en mechanique statistique des processus irreversibles. Lecture Notes in Physics 103, Berlin, Heidelberg New York: Springer 1979Google Scholar
  3. 3.
    Torres, P. L.: J. Math. Phys.18, 301–305 (1977)Google Scholar
  4. 4.
    Braun, W., Hepp, K.: Commun. Math. Phys.56, 101–114 (1977)Google Scholar
  5. 5.
    Narnhofer, H., Sewell, G. L.: Commun. Math. Phys.71, 1–28 (1980)Google Scholar
  6. 6.
    Narnhofer, H., Thirring, W.: Asymptotic exactness of finite temperature Thomas—Fermi theory, in press (Ann. Phys.)Google Scholar
  7. 7.
    Emch, G. G.: Algebraic methods in statistical mechanics and quantum field theory. New York, NY: Wiley-Interscience 1972Google Scholar
  8. 8.
    Neunzert, H.: Neuere qualitative and numerische methoden in der Plasmaphysik. Vorlesungsmanuskript Paderborn, 1975Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Heide Narnhofer
    • 1
  • Geoffrey L. Sewell
    • 2
  1. 1.Institut für Theoretische PhysikUniversität WienWienOsterreich
  2. 2.Department of PhysicsQueen Mary CollegeLondonEngland

Personalised recommendations