Exact Laplace-type asymptotic formulas for the Bogoliubov Gaussian measure: the set of minimum points of the action functional

DOI10.1134/S0040577917060071zbMath1378.82015OpenAlexW2725032716MaRDI QIDQ1675859

V. R. Fatalov

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1134/s0040577917060071

zbMATH Keywords

action functionalBogoliubov measureLaplace method in a Banach spaceset of minimum points

Mathematics Subject Classification ID

Gaussian processes (60G15) Large deviations (60F10) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (1)

Functional integrals for the Bogoliubov Gaussian measure: exact asymptotic forms

Cites Work

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• Gaussian functional integrals and Gibbs equilibrium averages
• Perturbation theory series in quantum mechanics: phase transition and exact asymptotic forms for the expansion coefficients
• On the Laplace Method for Gaussian Measures in a Banach Space
• Asymptotic Analysis of Gaussian Integrals. I. Isolated Minimum Points
• The Laplace method for probability measures in Banach spaces
• Some properties of functional integrals with respect to the Bogoliubov measure
• Metric properties of Bogoliubov trajectories in statistical equilibrium theory

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