Eur. Phys. J. B 34, 55-61 (2003)
https://doi.org/10.1140/epjb/e2003-00196-1

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

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

Corresponding author: ^a n00ymk00@nchc.gov.tw

Received: 3 January 2003
Published online: 23 July 2003

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.