Incompatibility of time-dependent Bogoliubov-de-Gennes and Ginzburg-Landau equations

DOI10.1007/S11005-016-0847-5zbMath1358.82041arXiv1504.05885OpenAlexW2342147614WikidataQ59469371 ScholiaQ59469371MaRDI QIDQ504230

Robert Seiringer, Rupert L. Frank, Benjamin Schlein, Christian Hainzl

Publication date: 13 January 2017

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

Full work available at URL: https://arxiv.org/abs/1504.05885

zbMATH Keywords

critical temperaturesuperconductivityBCS theoryquasi-free states

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Statistical mechanics of superfluids (82D50) Applications of functional analysis in quantum physics (46N50) Ginzburg-Landau equations (35Q56) PDEs in connection with statistical mechanics (35Q82)

Related Items (3)

A lower bound for the BCS functional with boundary conditions at infinity ⋮ Persistence of translational symmetry in the BCS model with radial pair interaction ⋮ Differential equations of quantum mechanics

Cites Work

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• Multi-component Ginzburg-Landau theory: microscopic derivation and examples
• Low density limit of BCS theory and Bose-Einstein condensation of fermion pairs
• The BCS functional for general pair interactions
• The critical temperature for the BCS equation at weak coupling
• Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory
• Resonances, metastable states and exponential decay laws in perturbation theory
• Microscopic derivation of Ginzburg-Landau theory
• Weak Time Dependence in Pure Superconductors
• Theory of Superconductivity
• The external field dependence of the BCS critical temperature

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