Determining the chemical potential of confined quantum systems of bosonic and fermionic type

Nicholas Ionescu-Pallas; Ovidiu Racoveanu; Valentin Ionel Vlad

doi:10.1117/12.583042

21 October 2004 Determining the chemical potential of confined quantum systems of bosonic and fermionic type

Nicholas Ionescu-Pallas, Ovidiu Racoveanu, Valentin Ionel Vlad

Proceedings Volume 5581, ROMOPTO 2003: Seventh Conference on Optics; (2004) https://doi.org/10.1117/12.583042
Event: ROMOPTO 2003: Seventh Conference on Optics, 2003, Constanta, Romania

Abstract

The relationship, expressing the particle number parameter of a confined quantum system (for instance an ideal bosonic or fermionic gas) in terms of the chemical potential, may be considered as an integral equation for determining the fugacity. Fugacity is obtained as infinte series in the increasing powers of the particle number, which is strongly convergent for the entire range of the thermodynamic parameters, including the region of the so called Bose-Einstein condensation. The asymptotic behavior of the expansion coefficients for increasing ordering number is studied and a simple rule for it is discovered.

Citation Download Citation

Nicholas Ionescu-Pallas, Ovidiu Racoveanu, and Valentin Ionel Vlad "Determining the chemical potential of confined quantum systems of bosonic and fermionic type", Proc. SPIE 5581, ROMOPTO 2003: Seventh Conference on Optics, (21 October 2004); https://doi.org/10.1117/12.583042

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