37 citations · 52 across the 4 of their papers we have counts for
5 papers · 1 filter
Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction
Volker Bach, Sébastien Breteaux, Sören Petrat +2
We study the time evolution of a system of spinless fermions in which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics giv…
On stability of Abrikosov vortex lattices
Israel Michael Sigal, Tim Tzaneteas
The Ginzburg-Landau equations play a key role in superconductivity and particle physics. They inspired many imitations in other areas of physics. These equations have two remarkabl…
Minimization of the Energy of the Non-Relativistic One-Electron Pauli-Fierz Model over Quasifree States
Volker Bach, Sébastien Breteaux, Timmy Tzaneteas
In this article is proved the existence and uniqueness of a minimizer of the energy for the non-relativistic one electron Pauli-Fierz model, within the class of pure quasifree stat…
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 Lattice Solutions of the Ginzburg-Landau Equations
T. Tzaneteas, I. M. Sigal
Building on the earlier work of Odeh, Barany, Golubitsky, Turski and Lasher we give a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductiv…