A lower bound for the BCS functional with boundary conditions at infinity
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Publication:5357535
DOI10.1063/1.4996580zbMath1377.82049arXiv1703.04616OpenAlexW3101452726MaRDI QIDQ5357535
Publication date: 11 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.04616
Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of superfluids (82D50) Statistical mechanics of gases (82D05) Ginzburg-Landau equations (35Q56)
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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
- Incompatibility of time-dependent Bogoliubov-de-Gennes and Ginzburg-Landau equations
- Mathematical analysis of the multiband BCS gap equations in superconductivity
- Note on a family of monotone quantum relative entropies
- On the Bardeen-Cooper-Schrieffer integral equation in the theory of superconductivity
- The BCS functional for general pair interactions
- Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit
- Generalized Hartree-Fock theory and the Hubbard model
- A positive density analogue of the Lieb-Thirring inequality
- A family of monotone quantum relative entropies
- The critical temperature for the BCS equation at weak coupling
- An existence proof for the gap equation in the superconductivity theory
- Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory
- The uniqueness and approximation of a positive solution of the Bardeen–Cooper–Schrieffer gap equation
- The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
- The gap equation for spin-polarized fermions
- Microscopic derivation of Ginzburg-Landau theory
- Translation-invariant quasi-free states for fermionic systems and the BCS approximation
- Spectral properties of the BCS gap equation of superfluidity
- A NONLINEAR MODEL FOR RELATIVISTIC ELECTRONS AT POSITIVE TEMPERATURE
- Quantum Liquids
- Theory of Superconductivity
- Measure and integration theory. Transl. from the German by Robert B. Burckel
- The external field dependence of the BCS critical temperature
