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

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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.

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Authors and Affiliations

  1. National Center for High-Performance Computing, No. 21, Nan-ke 3rd.Rd., Hsin-Shi, Tainan County 744, Taiwan, Republic of China

    Yee-Mou Kao & D. H. Lin

  2. Department of Electrical Engineering, Da Yeh University, Da-Tsuen, Changhua 515, Taiwan, Republic of China

    Pin Han

  3. Institute of Optical Sciences, National Central University, Chung-Li, 32054, Taiwan, Republic of China

    Pi-Gang Luan

Authors
  1. Yee-Mou Kao
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  2. D. H. Lin
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  3. Pin Han
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  4. Pi-Gang Luan
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Corresponding author

Correspondence to Yee-Mou Kao.

Additional information

Received: 3 January 2003, Published online: 23 July 2003

PACS:

05.30.-d Quantum statistical mechanics

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Kao, YM., Lin, D.H., Han, P. et al. Boundary and particle number effects on the thermodynamic properties of trapped ideal Bose gases. Eur. Phys. J. B 34, 55–61 (2003). https://doi.org/10.1140/epjb/e2003-00196-1

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  • DOI: https://doi.org/10.1140/epjb/e2003-00196-1

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