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Bose-Einstein Condensation in Some Interacting Systems

  • J. V. Pulé
Part of the NATO ASI Series book series (NSSB, volume 144)

Abstract

Sixty years after the discovery of Bose-Einstein condensation in the free Bose gas1, the following problem remains largely unsolved: is this phenomenon stable with respect to the introduction of a two-body interaction ? In this talk I shall present some results on two classes of interacting models, which though perhaps artificial may throw some light on the problem stated above. First I shall describe a one-dimensional gas of Bosons interacting through Neumann hard cores. Attractive boundary conditions or a weak gravitational potential are imposed on the system so that the corresponding non-interacting model exhibits Bose-Einstein condensation and singular thermodynamic functions.2,3 The second model we shall consider is the Van der Waal or Kac limit of a three-dimensional gas of Bosons interacting through a pair potential of positive type.4

Keywords

Hard Core Pair Potential Einstein Condensation Free Energy Density Positive Type 
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.

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Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • J. V. Pulé
    • 1
    • 2
  1. 1.Department of Mathematical PhysicsUniversity College DublinDublin 4Ireland
  2. 2.School of Theoretical PhysicsDublin Institute for Advanced StudiesIreland

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