Identification of the polaron measure in strong coupling and the Pekar variational formula

DOI10.1214/19-AOP1392zbMath1456.60211arXiv1812.06927MaRDI QIDQ2212587

Chiranjib Mukherjee, Srinivasa R. S. Varadhan

Publication date: 24 November 2020

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.06927

zbMATH Keywords

strong coupling limitFröhlich polaronKac interactionLandau-Pekar theoryPekar processPekar variational formula

Mathematics Subject Classification ID

Brownian motion (60J65) Large deviations (60F10) Transition functions, generators and resolvents (60J35)

Related Items (6)

Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation ⋮ Effective mass of the polaron -- revisited ⋮ The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics ⋮ On null-homology and stationary sequences ⋮ The polaron at strong coupling ⋮ The Polaron Measure

Cites Work

• Unnamed Item
• Brownian occupation measures, compactness and large deviations
• Exact ground state energy of the strong-coupling polaron
• Mean-field interaction of Brownian occupation measures. I: Uniform tube property of the Coulomb functional
• Effective mass of the polaron -- revisited
• Divergence of the effective mass of a polaron in the strong coupling limit
• Asymptotics for the polaron
• Asymptotic evaluation of certain markov process expectations for large time. IV
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process
• Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times

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