Non-standard thermal statistics with q-entropies

Abstract

We consider the quantum thermal statistics à la Gibbs–Shannon–Szilard–Jaynes based on q‐entropies S q [ρ]=(q−1)−1 (1−tr(ρ q )) (0<q≠1) and the non‐standard ‘‘internal energy’’ functionals U q [ρ]=tr(ρ qH ) proposed by C. Tsallis [J. Stat. Phys. 52, 479–487 (1988)].