Absence of binding in the Nelson and piezoelectric polaron models

DOI10.1142/S0129055X19500065zbMath1418.81029arXiv1610.09700OpenAlexW2964033168MaRDI QIDQ5226417

Gonzalo A. Bley

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/1610.09700

zbMATH Keywords

polaronbindingNelson modelbipolaronpiezoelectric polaron

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Linear symmetric and selfadjoint operators (unbounded) (47B25) Path integrals in quantum mechanics (81S40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07) Molecular physics (81V55)

Related Items (1)

Ground state of the polaron hydrogenic atom in a strong magnetic field

Cites Work

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• Estimates on functional integrals of quantum mechanics and non-relativistic quantum field theory
• Stability and absence of binding for multi-polaron systems
• The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field.
• Bounds on the minimal energy of translation invariant \(N\)-polaron systems
• Improved results on the no-binding of bipolarons
• Ground-State Energy and Effective Mass of the Polaron
• Asymptotics for the polaron
• The Stability of Matter in Quantum Mechanics
• A lower bound on the renormalized Nelson model
• Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction
• The Motion of Slow Electrons in a Polar Crystal
• Note on the Slow Electrons in a Polar Crystal
• Slow Electrons in a Polar Crystal

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