2004/12/23 by P. Narayana Swamy, Swamy, P. Narayana
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Fractal and DNA sequence analysis #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Scientific Research and Discoveries #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0412189
LaTeX, 16 pages
arxiv created 2004/12/23 · openalex publication_date 2004/12/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The idea that a system obeying interpolating statistics can be described by a deformed oscillator algebra has been an outstanding issue. This original concept introduced long ago by Greenberg is the motivation for this investigation. We establish that a q-deformed algebra can be used to describe the statistics of particles (anyons) interpolating continuously between Bose and Fermi statistics, i.e., fractional statistics. We show that the generalized intermediate statistics splits into the Boson-like and Fermion-like regimes, each described by a unique oscillator algebra. The B-anyon thermostatistics is described by employing the q-calculus based on the Jackson derivative but the F-anyons are described by ordinary derivatives of thermodynamics. Thermodynamic functions of both B-anyons and F-anyons are determined and examined.