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math-ph2020
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…
math-ph2020
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…
gr-qc2020
Integrable scalar cosmologies with matter and curvature
Davide Fermi, Massimo Gengo, Livio Pizzocchero
We show that several integrable (i.e., exactly solvable) scalar cosmologies considered by Fré, Sagnotti and Sorin (Nuclear Physics \textbf{B 877}(3) (2013), 1028--1106) can be gene…