The Canonical Perfect Bose Gas in Casimir Boxes

Abstract

We study the problem of Bose-Einstein condensation in the perfect Bose gas in the canonical ensemble, in anisotropically dilated rectangular parallelpipeds (Casimir boxes). We prove that in the canonical ensemble for these anisotropic boxes there is the same type of generalized Bose-Einstein condensation as in the grand-canonical ensemble for the equivalent geometry. However the amount of condensate in the individual states is different in some cases and so are the fluctuations.

23 pages

References in corpus (1)

• Distillation of Bose-Einstein condensates in a double-well potential

Cited by in corpus (14)

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• Geometrically confined thermal field theory: Finite size corrections and phase transitions
• The Approximating Hamiltonian Method for the Imperfect Boson Gas
• On the nature of Bose-Einstein condensation in disordered systems
• Bose-Einstein Condensation in Geometrically Deformed Tubes
• Scaling approach to existence of long cycles in Casimir boxes
• Random point field approach to analysis of anisotropic Bose-Einstein condensations
• Landau superfluids as non equilibrium stationary states