57 citations · 357 across the 33 of their papers we have counts for
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math-ph2008
Quantum Fokker-Planck models: the Lindblad and Wigner approaches
Anton Arnold, Franco Fagnola, Lukas Neumann
In this article we try to bridge the gap between the quantum dynamical semigroup and Wigner function approaches to quantum open systems. In particular we study stationary states an…
math-ph2003★ 24 cited
Quantum dynamical semigroups for diffusion models with Hartree interaction
Anton Arnold, Christof Sparber
We consider a class of evolution equations in Lindblad form, which model the dynamics of dissipative quantum mechanical systems with mean-field interaction. Particularly, this clas…
math-ph2003
On global classical solutions of the time-dependent von Neumann equation for Hartree-Fock systems
A. Arnold, R. Bosi, S. Jeschke +1
This paper is concerned with the well-posedness analysis of the Hartree-Fock system modeling the time evolution of a quantum system comprised of fermions. We consider quantum state…