On the weak coupling limit of quantum many-body dynamics and the quantum Boltzmann equation

DOI10.3934/KRM.2015.8.443zbMath1328.35141arXiv1412.1775OpenAlexW1416825301WikidataQ60134805 ScholiaQ60134805MaRDI QIDQ888738

N. E. Zubov

Publication date: 2 November 2015

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1775

zbMATH Keywords

BBGKY hierarchyweak couplingquantum Boltzmann equationquantum many-body dynamicsUehling-Uhlenbeck equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Many-body theory; quantum Hall effect (81V70) Kinetic theory of gases in equilibrium statistical mechanics (82B40) PDEs in connection with mechanics of particles and systems of particles (35Q70) Boltzmann equations (35Q20)

Related Items (5)

On the quantum Boltzmann equation near Maxwellian and vacuum ⋮ Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy ⋮ The derivation of the compressible Euler equation from quantum many-body dynamics ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On coupling kinetic and Schrödinger equations

Cites Work

• From Newton to Boltzmann: hard spheres and short-range potentials
• On the quantum Boltzmann equation
• Some considerations on the derivation of the nonlinear quantum Boltzmann equation
• From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime
• ON THE WEAK-COUPLING LIMIT FOR BOSONS AND FERMIONS
• Time evolution of large classical systems
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I

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