Eur. Phys. J. D 40, 263-269 (2006)
https://doi.org/10.1140/epjd/e2006-00157-4

Transition temperatures of the trapped ideal spinor Bose gas

¹ Department of Physics, National Changhua University of Education, Changhua, 50058, Taiwan, ROC
² Institute of Physics, National Chiao-Tung University, Hsinchu, 30010, Taiwan, ROC

Corresponding author: ^a tfjiang@mail.nctu.edu.tw

Received: 26 December 2005
Revised: 31 May 2006
Published online: 30 June 2006

Abstract

The thermodynamic properties of the trapped ideal spinor Bose gas are studied in details with the constraints of fixed total number of atoms N, and magnetization M. The double transition temperatures, their corresponding corrections due to finite particle number, and the population of each component are investigated. The generalization to the ideal spinor Bose gas of hyperfine quantum number F is also discussed. We propose that the order and disorder parameters to describe the symmetry broken of condensation.