2018/04/03 by M. Ishihara, Masamichi Ishihara · 13 citations
Chemistry · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Chemistry #Complex Systems and Time Series Analysis #Correlation #Distribution (mathematics) #Field (mathematics) #Financial Risk and Volatility Modeling #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Momentum (technical analysis) #Operator (biology) #Physics #Quantum mechanics #Scalar (mathematics) #Statistical Mechanics and Entropy #Statistical physics #Tsallis statistics #cond-mat.stat-mech #hep-ph
paper · pdf · doi:10.1140/epja/i2018-12601-8
published in The European Physical Journal A 54(10) (Springer Science+Business Media) · 6 pages
arxiv created 2018/04/03 · openalex publication_date 2018/10/01 · arxiv updated 2018/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derived the expression of the normalized q-expectation value based on the density operator to the order 1-q with the physical temperature in the Tsallis nonextensive statistics of entropic parameter q. With the derived expression of the normalized q-expectation value, we calculated the momentum distribution and the correlation to the order 1-q as functions of the inverse physical temperature for a free scalar field. To the order 1-q, the momentum distribution derived by using the density operator coincides with the momentum distribution derived from the entropic measure described with the distribution, when the physical temperature equals the temperature in the distribution derived from the entropic measure. The correlation depends on the momentums for q ≠ 1. The factor two appears in the correlation for the same momentums, and indicates that the effects of boson at q ≠ 1 and those at q=1 are similar for the correlation.