1993/04/23 by Масуд Чайчиан, M. Chaichian, R. González Felipe +3 · 7 citations
Computer Science · Mathematics · Physics and Astronomy · #Anyon #Bose gas #Bose–Einstein condensate #Bose–Einstein statistics #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Dimension (graph theory) #Fock space #Fock state #Hamiltonian (control theory) #Identical particles #Mathematical physics #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum statistical mechanics #Random Matrices and Applications #Statistics #Topological quantum computer #hep-th
paper · pdf · doi:10.1088/0305-4470/26/16/018
published as J.Phys.A26:4017-4034,1993 · 21 pages, Latex, HU-TFT-93-23
arxiv created 1993/04/23 · openalex publication_date 1993/08/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The statistics of q-oscillators, quons, and, to some extent, of anyons are studied and the basic differences among these objects are pointed out In particular, the statistical distributions for different bosonic and fermionic q-oscillators are found for their corresponding Fock space representations in the case when the Hamiltonian is identified with the number operator. In this case and for non-relativistic particles, the single-particle temperature Green function is defined with q-deformed periodicity conditions. The equations of state for nonrelativistic and ultrarelativistic bosonic q-gases in an arbitrary space dimension are found near Bose statistics, as well as that for an anyonic gas near Bose and Fermi statistics. The first corrections to the second virial coefficients are also evaluated.