Bogoliubov's metric as a global characteristic of the family of metrics in the Hilbert algebra of observables

DOI10.1007/s11232-009-0108-1zbMath1176.81092OpenAlexW1997209470MaRDI QIDQ1034521

Yu. G. Rudoy

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0108-1

zbMATH Keywords

Green's functioncorrelation functionuncertainty relationoperator metricspectral intensity

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Statistical thermodynamics (82B30) Thermal quantum field theory (81T28)

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Monotone Riemannian metrics and dynamic structure factor in condensed matter physics ⋮ The Bogoliubov-Tyablikov Green's function method in the quantum theory of magnetism

Cites Work

• Quantum detection and estimation theory
• Markov invariant geometry and manifolds of states
• Quantum versus classical uncertainty
• Monotone metrics on matrix spaces
• The Bogoliubov inner product in quantum statistics
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Theory of Many-Particle Systems. I
• Transport, Collective Motion, and Brownian Motion
• INFORMATION CONTENTS OF DISTRIBUTIONS
• Irreversibility and Generalized Noise
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