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BEC IN NONEXTENSIVE STATISTICAL MECHANICS: SOME ADDITIONAL RESULTS

2001/01/23 by Luca Salasnich, LUCA SALASNICH · 7 citations
Mathematics · Physics and Astronomy · #Bose gas #Boson #Condensation #Fractional Differential Equations Solutions #Harmonic #Ideal (ethics) #Ideal gas #Quantum Mechanics and Non-Hermitian Physics #Statistical Mechanics and Entropy #Statistical mechanics #cond-mat.stat-mech

paper · pdf · doi:10.1142/s0217979201004708

published in International Journal of Modern Physics B 15(09), 1253-1256 (World Scientific) · 6 pages, to be published in Int. J. Mod. Phys. B. Our papers on BEC and degenerate quantum gases can be found at the address http://www.mi.infm.it/salasnich/tdqg.html

arxiv created 2001/01/23 · openalex publication_date 2001/04/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In a recent paper 1 we discussed the Bose–Einstein condensation (BEC) in the framework of Tsallis's nonextensive statistical mechanics. In particular, we studied an ideal gas of bosons in a confining harmonic potential. In this memoir we generalize our previous analysis by investigating an ideal Bose gas in a generic power-law external potential. We derive analytical formulas for the energy of the system, the BEC transition temperature and the condensed fraction.

Citations