178 citations · 981 across the 75 of their papers we have counts for
5 papers · 2 filters
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
T. Tzaneteas, I. M. Sigal
Building on earlier work, we have given in our paper in Contemporary Mathematics 535, 195-213, 2011 (referred here as [TS]) a proof of existence of Abrikosov vortex lattices in the…
Stability of Abrikosov lattices under gauge-periodic perturbations
I. M. Sigal, T. Tzaneteas
We consider Abrikosov-type vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, consisting of single vortices, for magnetic fields below but close to the…
Abrikosov Vortex Lattices at Weak Magnetic Fields
I. M. Sigal, T. Tzaneteas
We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations in two dimensions, for magnetic fields larger than but close to the first critical magneti…
Maximal velocity of photons in non-relativistic QED
Jean-Francois Bony, Jérémy Faupin, Israel Michael Sigal
We consider the problem of propagation of photons in the quantum theory of non-relativistic matter coupled to electromagnetic radiation, which is, presently, the only consistent qu…
Renormalization Group and Problem of Radiation
I. M. Sigal
The standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, coupled to the quantized electromagnetic fiel…