On Bose-Einstein Condensation in any Dimension

Abstract

Arbitrarily large ground state population is a general property of any ideal bose gas when conditions of degeneracy are satisfied; it occurs at any dimension D. For $D=1$, the condensation is diffuse, at $D=2$ it is a sort of quasi-condensate. The discussion is made by following a microscopic approach and for finite systems. Some astrophysical consequences are discussed, as well as the temperature-dependent mass case.

latex file, 13 pages

References in corpus (2)

• Bose-Einstein condensation may occur in a constant magnetic field
• Simple criterion for the occurrence of Bose-Einstein condensation

Cited by in corpus (7)

• Classification of phase transitions of finite Bose-Einstein condensates in power law traps by Fisher zeros
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• Thermodynamical properties of a neutral vector boson gas in a constant magnetic field
• Two-step condensation of the charged Bose gas
• Magnetized vector boson gas at any temperature
• Multi-step Bose-Einstein Condensation of Trapped Ideal Bose Gases
• One-loop omega-potential of charged massive particles in a constant homogeneous magnetic field at high temperatures