Exact asymptotic behavior of the Pekar–Tomasevich functional

DOI10.1063/1.3587117zbMath1317.82052OpenAlexW2064072341WikidataQ59158084 ScholiaQ59158084MaRDI QIDQ5265985

Gonzalo A. Bley, Rafael D. Benguria

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3587117

zbMATH Keywords

\(N\)-polaron

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20)

Related Items (7)

A lower bound on the renormalized Nelson model ⋮ The ground state energy of the multi-polaron in the strong coupling limit ⋮ Monotonicity of the polaron energy. II: General theory of operator monotonicity ⋮ Binding of polarons and atoms at threshold ⋮ Estimates on functional integrals of quantum mechanics and non-relativistic quantum field theory ⋮ Monotonicity of the polaron energy ⋮ Ground state energy of large polaron systems

Cites Work

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• Stability and absence of binding for multi-polaron systems
• Bounds on the minimal energy of translation invariant \(N\)-polaron systems
• Exact ground state energy of the strong-coupling polaron
• Exponential decay and ionization thresholds in non-relativistic quantum electrodynamics
• The bipolaron in the strong coupling limit
• Binding, Stability, and Non-binding of Multi-polaron Systems
• Asymptotics for the polaron
• The Stability of Matter in Quantum Mechanics
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

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