28 citations · 44 across the 5 of their papers we have counts for
5 papers
Vortex Lattices and the Bogoliubov-De Gennes Equations
Ilias, Chenn, Israel Michael Sigal
We consider the Bogoliubov-de Gennes equations giving an equivalent formulation of the BCS theory of superconductivity. We are interested in static solutions with the magnetic fiel…
On the Bogolubov-de Gennes Equations
Ilias, Chenn, Israel Michael Sigal
We consider the Bogolubov-de Gennes equations giving an equivalent formulation of the BCS theory of superconductivity. We are interested in the case when the magnetic field is pres…
On collapse of wave maps
Yu. N. Ovchinnikov, I. M. Sigal
We derive the universal collapse law of degree 1 equivariant wave maps (solutions of the sigma-model) from the 2+1 Minkowski space-time,to the 2-sphere. To this end we introduce a…
Spectral Theory for the Standard Model of Non-Relativistic QED
J. Froehlich, M. Griesemer, I. M. Sigal
For a model of atoms and molecules made from static nuclei and non-relativistic electrons coupled to the quantized radiation field (the standard model of non-relativistic QED), we…
Asymptotic Stability of Nonlinear Schrödinger Equations with Potential
Zhou Gang, I. M. Sigal
We prove asymptotic stability of trapped solitons in the generalized nonlinear Schrödinger equation with a potential in dimension 1 and for even potential and even initial conditio…