2011/11/30 by A. M. Gavrilik, A. M. GAVRILIK, A. P. Rebesh +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bose gas #Cold Atom Physics and Bose-Einstein Condensates #Conjugate #Deformation (meteorology) #Quantum Mechanics and Non-Hermitian Physics #Series (stratigraphy) #Virial coefficient #Virial expansion #Virial mass #Virial theorem #cond-mat.quant-gas #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1142/s0217984911500308
published as Mod. Phys. Lett. B 26, No.5 (2012) 1150030 (13 pp) · 12 pages, 4 figures; v.2: minor changes
openalex publication_date 2012/02/03 · arxiv created 2012/03/30 · arxiv updated 2012/11/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the study of many-particle systems both the interaction of particles can be essential and such feature as their internal (composite) structure. To describe these aspects, the theory of deformed oscillators is very efficient. Viewing the particles as p, q-deformed bosons, in the corresponding p, q-Bose gas model we obtain in explicit form virial expansion along with the 2nd to 5th virial coefficients. The obtained virial coefficients depend on the deformation parameters p, q in the form symmetric under p ↔ q, and at p → 1, q → 1 turn into those known for usual bosons. Besides real parameters, we analyze the case of complex mutually conjugate p and q and find interesting implications. Also, the critical temperature is derived (for the p, q-Bose gas) and compared with the T c of standard case of bosons condensation. Similar results are presented for the deformed Bose gas model of the Tamm–Dancoff (TD) type.