Boundary and particle number effects on the thermodynamic properties of trapped ideal Bose gases
- 47 Downloads
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.
KeywordsMicrostructure Theoretical Result Thermodynamic Property Particle Number Boundary Effect
Unable to display preview. Download preview PDF.
- 1.A. Einstein, Sitzungsber. Preuss. Akad. Wiss. 1, 3 (1925)Google Scholar
- 2.M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)Google Scholar
- 5.Kerson Huang 1987, Statistical Mechanics, 2nd edn. (John Wiley and Sons, New York)Google Scholar
- 6.S.R. de Groot, G.J. Hooman, C.A. Ten Seldam, Proc. R. Soc. London, Ser. A 56, 587 (1950)Google Scholar
- 8.V. Bagnato, D.E. Pritchard, D. Kleppner, Phys. Rev. A 35, 4354 (1987)Google Scholar
- 12.G. Arfken, Mathematical Methods for Physicists, 3d edn. (Oxford, Ohio, 1985)Google Scholar