142 citations · 151 across the 10 of their papers we have counts for
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math.AP2017
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…
math.AP2017★ 2 cited
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…