21 citations · 57 across the 3 of their papers we have counts for
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math-ph2010★ 17 cited
Quantum Kinetic Evolution of Marginal Observables
V. I. Gerasimenko
We develop a rigorous formalism for the description of the evolution of observables of quantum systems of particles in the mean-field scaling limit. The corresponding asymptotics o…
math-ph2010★ 19 cited
Towards Rigorous Derivation of Quantum Kinetic Equations
V. I. Gerasimenko, Zh. A. Tsvir
We develop a rigorous formalism for the description of the evolution of states of quantum many-particle systems in terms of a one-particle density operator. For initial states whic…
math-ph2010★ 21 cited
Dynamics of Correlations of Bose and Fermi Particles
V. I. Gerasimenko, D. O. Polishchuk
We discuss the origin of the microscopic description of correlations in quantum many-particle systems obeying Fermi-Dirac and Bose-Einstein statistics. For correlation operators th…