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Boundary and particle number effects on the thermodynamic properties of trapped ideal Bose gases
Authors:Yee-Mou?Kao  author-information"  >  author-information__contact u-icon-before"  >  mailto:nymk@nchc.gov.tw"   title="  nymk@nchc.gov.tw"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,D.?H.?Lin,Pin?Han,Pi-Gang?Luan
Affiliation:(1) National Center for High-Performance Computing, No. 21, Nan-ke 3rd.Rd., Hsin-Shi, Tainan County 744, Taiwan, Republic of China;(2) Department of Electrical Engineering, Da Yeh University, Da-Tsuen, Changhua 515, Taiwan, Republic of China;(3) Institute of Optical Sciences, National Central University, Chung-Li, 32054 Taiwan, Republic of China
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.Received: 3 January 2003, Published online: 23 July 2003PACS: 05.30.-d Quantum statistical mechanics
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