Ground state energy of large polaron systems

DOI10.1063/1.4908125zbMath1312.82020arXiv1409.5415OpenAlexW2006839245WikidataQ59158049 ScholiaQ59158049MaRDI QIDQ5178182

Elliott H. Lieb, Rupert L. Frank, Rafael D. Benguria

Publication date: 13 March 2015

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

Full work available at URL: https://arxiv.org/abs/1409.5415

zbMATH Keywords

Pekar-Tomasevich approximationbosonselectron-electron Coulomb repulsionmany-polaron system

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Statistical mechanics of solids (82D20)

Cites Work

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• Stability and absence of binding for multi-polaron systems
• Ground state energy of the two-component charged Bose gas
• Upper bounds to the ground state energies of the one- and two-component charged Bose gases
• Bounds on the minimal energy of translation invariant \(N\)-polaron systems
• The ground-state vector of the XY Heisenberg chain and the Gauss decomposition
• The classical limit of quantum spin systems
• Exact asymptotic behavior of the Pekar–Tomasevich functional
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Charged Boson Gas
• Ground state energy of the one-component charged Bose gas.

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