It is a remarkable property of BCS theory that the ratio of the energy gap at zero temperature
Ξ and the critical temperature T c is (approximately) given by a universal constant …

An overview of the optical effects in solids, addressing the physics of various materials and
their response to electromagnetic radiation. The discussion includes metals …

The mean field limit for systems of many fermions is naturally coupled with a semiclassical
limit. This makes the analysis of the mean field regime much more involved, compared with …

In this paper we study the dynamics of fermionic mixed states in the mean‐field regime. We
consider initial states that are close to quasi‐free states and prove that, under suitable …

We show local and global well-posedness results for the Hartree equation i\partial_t γ=-Δ+
w*\rho_ γ, γ, i∂ t γ=-Δ+ w∗ ρ γ, γ, where γ is a bounded self-adjoint operator on L^ 2 (R^ d) …

We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling
regime of high density and weak interaction. The result verifies the prediction of the random …

We review recent results concerning the mathematical properties of the Bardeen–Cooper–
Schrieffer (BCS) functional of superconductivity, which were obtained in a series of papers …

We study translation-invariant quasi-free states for a system of fermions with two-particle
interactions. The associated energy functional is similar to the BCS functional but also …

the BCS order parameter) at all temperatures 0 Ä T Ä Tc up to the critical one, Tc, and show
that, in the limit of weak coupling, the ratio „. T/= Tc is given by a universal function of the …

We consider the linear BCS equation, determining the BCS critical temperature, in the
presence of a boundary, where Dirichlet boundary conditions are imposed. In the one …