Quantum statistical manifolds: the linear growth case

2018/01/18 by Jan Naudts, Naudts, Jan
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1801.07642

openalex publication_date 2018/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A class of vector states on a von Neumann algebra is constructed. These states belong to a deformed exponential family. One specific deformation is considered. It makes the exponential function asymptotically linear. Difficulties arising due to non-commutativity are highlighted.

Citations

• Estimators, escort probabilities, and phi-exponential families in\n statistical physics

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