4 papers
On two-dimensional Dirac operators with critical delta-shell interactions
William Borrelli, Pietro Carimati, Davide Fermi
We study two-dimensional Dirac operators with singular interactions of electrostatic and Lorentzscalar type, supported either on a straight line or a circle. For certain critical v…
Vacuum and thermal fluctuations of a scalar field with point interactions
Davide Fermi, Marco Gurgoglione
We investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, mo…
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…
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…