Evolution of correlations of quantum many-particle systems

DOI10.1088/1742-5468/2008/03/P03007zbMath1459.81134arXiv0712.4336OpenAlexW3101826959MaRDI QIDQ5239469

V. O. Shtyk, Viktor Gerasimenko

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.4336

zbMATH Keywords

exact resultsfluctuations (theory)dynamical processes (theory)quantum many body problems

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items (1)

Propagation of correlations in a hard-sphere system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime
• Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
• Mean field dynamics of fermions and the time-dependent Hartree-Fock equation
• Perturbation theory for linear operators.
• On the quantum Boltzmann equation
• Some considerations on the derivation of the nonlinear quantum Boltzmann equation
• The TDHF approximation for Hamiltonians with \(m\)-particle interaction potentials
• A short review on the derivation of the nonlinear quantum Boltzmann equations
• Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
• Mean field dynamics of boson stars
• Initial-value problem for the Bogolyubov hierarchy for quantum systems of particles
• Mathematical Properties of Quantum Evolution Equations
• Derivation of the Gross-Pitaevskii Hierarchy
• On the solutions of the nonlinear Liouville hierarchy

This page was built for publication: Evolution of correlations of quantum many-particle systems