Bose-Einstein Condensation in Some Interacting Systems

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


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


Hard Core Pair Potential Einstein Condensation Free Energy Density Positive Type 
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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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