178 citations · 981 across the 75 of their papers we have counts for
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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 Derivation of the Poisson-Boltzmann Equation
Ilias, Chenn, Israel Michael Sigal
Starting from the microscopic reduced Hartree-Fock equation, we derive the nanoscopic linearized Poisson-Boltzmann equation for the electrostatic potential associated with the elec…
Maximal Speed of Quantum Propagation
Jack Arbunich, Fabio Pusateri, Israel Michael Sigal +1
For Schroedinger equations with both time-independent and time-dependent Kato potentials, we give a simple proof of the maximal speed bound. The latter states that the probability…