Bose-Einstein Condensation in a Harmonic Trap: Effect of Interactions on Tc

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For a harmonically trapped dilute Bose gas with uniformly repulsive interactions which is assumed to satisfy a certain condition on the extensivity of fluctuations, I find on upper bound on the condensate fraction f. If BEC is defined by the condition that f > const. N, α.< 1/2, I argue that in the limit N → ∞, V0 → 0, NV 0 → const. where V0 is the space integral of the potential, the interactions cannot increase the critical temperature over that of the noninteracting gas.

Original languageEnglish (US)
Pages (from-to)903-910
Number of pages8
JournalJournal of Statistical Physics
Issue number3-6
StatePublished - Mar 2003


  • Bose-Einstein condensation
  • Critical temperature
  • Harmonic traps
  • Interaction effects

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics


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