Boundary and particle number effects on the thermodynamic properties of trapped ideal Bose gases

Original Paper

Abstract.

The ideal noninteracting Bose gases trapped in a generic power-law potential in an any-dimensional space are studied. We present theoretical results of the corrections of thermodynamic properties due to finite particle number effects. The calculation uses the Euler-Maclaurin approximation to simplify the condensate fraction, and it also uses the Maslov index to discuss the boundary effect. Recently BEC (Bose-Einstein Condensation) has also been observed in a microelectronic chip; therefore, with a similar microstructure, we can obtain the effects of a rigid wall in a trap that have never been found before.

Keywords

Microstructure Theoretical Result Thermodynamic Property Particle Number Boundary Effect 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • Yee-Mou Kao
    • 1
  • D. H. Lin
    • 1
  • Pin Han
    • 2
  • Pi-Gang Luan
    • 3
  1. 1.National Center for High-Performance Computing, No. 21TaiwanRepublic of China
  2. 2.Department of Electrical EngineeringDa Yeh UniversityTaiwanRepublic of China
  3. 3.Institute of Optical SciencesNational Central UniversityTaiwanRepublic of China

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