On the geometrical structure of the generalized quantum Gibbs states

DOI10.1016/0034-4877(86)90037-6zbMath0659.53055OpenAlexW1972714812MaRDI QIDQ1112352

Henryk Janyszek

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90037-6

zbMATH Keywords

statistical thermodynamicsGaussian curvatureGibbs states

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Applications of global differential geometry to the sciences (53C80)

Related Items

Geometry of quantum group invariant systems, Notions of the ergodic hierarchy for curved statistical manifolds, Monotone Riemannian metrics and dynamic structure factor in condensed matter physics, Geometry of canonical correlation on the state space of a quantum system, Geometrical structure of the state space in classical statistical and phenomenological thermodynamics, On the monotonicity of scalar curvature in classical and quantum information geometry, Thermodynamics of boson systems related to Dunkl differential-difference operators, Thermodynamic geometry, transition between attractive and repulsive interactions and condensation of dual statistics, Thermodynamic geometry of Kaniadakis statistics

Cites Work

• On the Riemannian metrical structure in the classical statistical equilibrium thermodynamics
• The geometrical structure of the parameter space of the two-dimensional normal distribution
• Information geometry in functional spaces of classical and quantum finite statistical systems
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