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Maximum trap range and equation of state for Fermi gas in potential trap

Yuan Du-Qi

Maximum trap range and equation of state for Fermi gas in potential trap

Yuan Du-Qi
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  • Received Date:  29 August 2010
  • Accepted Date:  27 September 2010
  • Published Online:  15 June 2011

Maximum trap range and equation of state for Fermi gas in potential trap

  • 1. Department of Physics and Information Technology, Baoji University of Science and Arts, Baoji 721016, China

Abstract: In the Thomas-Fermi semi-classical approximation, the maximal trap range and the real trap volume of ideal Fermi gas in an n-dimensional potential trap are gaven, and the relevant equations of state are derived. These results indicate that the maximal trap range and the real pressure of trapped gas are related to the potential field and the chemical potential of the free and ideal Fermi system. When the Thomas-Fermi approximate is valid and the condition ((kT)/(hω))2 ((16π2g)/(9N))2/3<<1 is satisfied, the application of the equation of state to three-dimensional spherical symmetry harmonic trap yields the result that the change of pressure is not obvious when the temperature changes, but the change of pressure is closely related to mass of particle, number of particles and the frequency of harmonic potential.

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