4 citations · 10 across the 3 of their papers we have counts for
7 papers · 1 filter
Vacuum polarization with zero-range potentials on a hyperplane
Davide Fermi
The quantum vacuum fluctuations of a neutral scalar field induced by background zero-range potentials concentrated on a flat hyperplane of co-dimension in -dimensional M…
Magnetic Perturbations of Anyonic and Aharonov-Bohm Schrödinger Operators
Michele Correggi, Davide Fermi
We study the Hamiltonian describing two anyons moving in a plane in presence of an external magnetic field and identify a one-parameter family of self-adjoint realizations of the c…
The semiclassical limit on a star-graph with Kirchhoff conditions
Claudio Cacciapuoti, Davide Fermi, Andrea Posilicano
We consider the dynamics of a quantum particle of mass on a -edges star-graph with Hamiltonian and Kirchhoff conditions in the vertex. We describe…
The Casimir energy anomaly for a point interaction
Davide Fermi
The Casimir energy for a massless, neutral scalar field in presence of a point interaction is analyzed using a general zeta-regularization approach developed in earlier works. In a…
The semi-classical limit with delta potentials
Claudio Cacciapuoti, Davide Fermi, Andrea Posilicano
We consider the semi-classical limit of the quantum evolution of Gaussian coherent states whenever the Hamiltonian is given, as sum of quadratic forms, by $\mathsf H= -…
Scattering from local deformations of a semitransparent plane
Claudio Cacciapuoti, Davide Fermi, Andrea Posilicano
We study scattering for the couple of Schrödinger operators in formally defined as and , , w…