5 citations · 20 across the 9 of their papers we have counts for
9 papers
Electromagnetism: an intrinsic approach to Hadamard's method of descent
Giuliano Angelone, Elisa Ercolessi, Paolo Facchi +4
We present a systematic geometric framework for the dimensional reduction of classical electromagnetism based on the concept of descent along vector fields of invariance. By explor…
Isospectrality and non-locality of generalized Dirac combs
Giuliano Angelone, Manuel Asorey, Fernando Ezquerro +1
We consider a generalization of Dirac's comb model, describing a non-relativistic particle moving in a periodic array of generalized point interactions. The latter represent the mo…
Classical echoes of quantum boundary conditions
Giuliano Angelone, Paolo Facchi, Marilena Ligabò
We consider a non-relativistic particle in a one-dimensional box with all possible quantum boundary conditions that make the kinetic-energy operator selfadjoint. We determine the W…
Hearing the boundary conditions of the one-dimensional Dirac operator
Giuliano Angelone
We study the isospectrality problem for a relativistic free quantum particle, described by the Dirac Hamiltonian, confined in a one-dimensional ring with a junction. We analyze all…
Dimensional reduction of the Dirac equation in arbitrary spatial dimensions
Davide Lonigro, Rocco Maggi, Giuliano Angelone +5
We investigate the general properties of the dimensional reduction of the Dirac theory, formulated in a Minkowski spacetime with an arbitrary number of spatial dimensions. This is…
Dimensional reduction of the Dirac theory
Giuliano Angelone, Elisa Ercolessi, Paolo Facchi +5
We perform a reduction from three to two spatial dimensions of the physics of a spin-1/2 fermion coupled to the electromagnetic field, by applying Hadamard's method of descent. We…
Boundary conditions for the quantum Hall effect
Giuliano Angelone, Manuel Asorey, Paolo Facchi +2
We formulate a self-consistent model of the integer quantum Hall effect on an infinite strip, using boundary conditions to investigate the influence of finite-size effects on the H…
Hearing the shape of a quantum boundary condition
Giuliano Angelone, Paolo Facchi, Giuseppe Marmo
We study the isospectrality problem for a free quantum particle confined in a ring with a junction, analyzing all the self-adjoint realizations of the corresponding Hamiltonian in…
Quantum magnetic billiards: boundary conditions and gauge transformations
Giuliano Angelone, Paolo Facchi, Davide Lonigro
We study admissible boundary conditions for a charged quantum particle in a two-dimensional region subjected to an external magnetic field, i.e. a quantum magnetic billiard. After…