Communications in Theoretical Physics

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Functional Integral Approach to Transition Temperature of a Homogeneous Imperfect Bose Gas

HU Guang-Xi,1,2 DAI Xian-Xi,1,3 DAI Ji-Xin,4 and William E. Evenson3   


  1. 1 Research Group of Quantum Statistics and Methods of Theoretical Physics and State Key Laboratory of Surface Physics, Department of Physics, Fudan University, Shanghai 200433, China
    2 School of Microelectronics, Fudan University, Shanghai 200433, China
    3 Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602-4645, USA
    4 Department of Chemistry, New York University, Washington Place, New York, NY 10003, USA
  • Received: 2003-10-27 Revised: 1900-01-01 Published: 2004-06-15

Abstract: A functional integral approach (FIA) is introduced to calculate the transition temperature of a uniform imperfect Bose gas. With this approach we find that the transition temperature is higher than that of the corresponding ideal gas. We obtain the expression of the transition temperature shift as ΔTc/ T0=2.492(na3)1/6, where n is the density of particle number and a is the scattering length. The result has never been reported in the literature.

Key words: Bose gas, functional integral, transition temperature

PACS numbers: 

  • 05.30.Jp