4 papers · 1 filter
Homogenization of point interactions
Domenico Cafiero, Michele Correggi, Davide Fermi
We consider a non-relativistic quantum particle in , or , interacting with singular zero-range potentials concentrated on a large collection of points. W…
Existence of Bulk Vortices in Superconductors with Strong Magnetic Fields
M. Correggi, A. Kachmar
We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where…
Pauli Hamiltonians with an Aharonov-Bohm Flux
William Borrelli, Michele Correggi, Davide Fermi
We study a two-dimensional Pauli operator describing a charged quantum particle with spin moving on a plane in presence of an orthogonal Aharonov-Bohm magnetic flux. We class…
Deficiency indices for singular magnetic Schrödinger operators
Michele Correggi, Davide Fermi
We show that the deficiency indices of magnetic Schrödinger operators with several local singularities can be computed in terms of the deficiency indices of operators carrying just…