The ground state energy of the multi-polaron in the strong coupling limit

DOI10.1007/s11005-013-0648-zzbMath1276.81092arXiv1212.3571OpenAlexW2093248725MaRDI QIDQ381012

Benjamin Landon, Ioannis Anapolitanos

Publication date: 15 November 2013

Published in: Letters in Mathematical Physics, Mathematical Results in Quantum Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3571

zbMATH Keywords

strong coupling limitpolaron

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Model quantum field theories (81T10) Statistical mechanics of crystals (82D25) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Variational principles of physics (49S05) PDEs in connection with statistical mechanics (35Q82)

Related Items

Monotonicity of the polaron energy. II: General theory of operator monotonicity ⋮ Effects of temperature on the ground state energy of the strong coupling polaron in a rbcl asymmetrical semi-exponential quantum well ⋮ Multipolarons in a constant magnetic field ⋮ Ground state of the polaron hydrogenic atom in a strong magnetic field

Cites Work

• Unnamed Item
• Unnamed Item
• Geometric methods for nonlinear many-body quantum systems
• 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
• The bipolaron in the strong coupling limit
• The strong-coupling polaron in static electric and magnetic fields
• Asymptotics for the polaron
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Exact asymptotic behavior of the Pekar–Tomasevich functional