142 citations · 145 across the 4 of their papers we have counts for
4 papers
The Wigner-Lohe model for quantum synchronization and its emergent dynamics
Paolo Antonelli, Seung-Yeal Ha, Dohyun Kim +1
We present the Wigner-Lohe model for quantum synchronization which can be derived from the Schrödinger-Lohe model using the Wigner formalism. For identical one-body potentials, we…
Nonlinear Maxwell-Schroedinger system and Quantum Magneto-Hydrodynamics in 3D
Paolo Antonelli, Michele D'Amico, Pierangelo Marcati
Motivated by some models arising in quantum plasma dynamics, in this paper we study the Maxwell-Schrödinger system with a power-type nonlinearity. We show the local well-posedness…
On the XFEL Schroedinger Equation: Highly Oscillatory Magnetic Potentials and Time Averaging
Paolo Antonelli, Agisillaos Athanassoulis, Hichem Hajaiej +1
We analyse a nonlinear Schrödinger equation for the time-evolution of the wave function of an electron beam, interacting selfconsistently through a Hartree-Fock nonlinearity and th…
On the Finite Energy Weak Solutions to a System in Quantum Fluid Dynamics
Paolo Antonelli, Pierangelo Marcati
In this paper we consider the global existence of weak solutions to a class of Quantum Hydrodynamics (QHD) systems with initial data, arbitrarily large in the energy norm. These ty…