A nonperturbative solution of the nonlinear BBGKY hierarchy for marginal correlation operators
DOI10.1002/mma.2753zbMath1278.35207arXiv1105.5822OpenAlexW3101679367MaRDI QIDQ2867874
D. O. Polishchuk, Viktor Gerasimenko
Publication date: 20 December 2013
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.5822
density matrixquantum many-particle systemcorrelation operatorvon Neumann hierarchynonlinear quantum BBGKY hierarchy
Semigroups of nonlinear operators (47H20) Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with quantum mechanics (35Q40) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Nonlinear evolution equations (47J35)
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Cites Work
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- Mean-field limit and semiclassical expansion of a quantum particle system
- Heisenberg picture of quantum kinetic evolution in mean-field limit
- Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Perturbation theory for linear operators.
- Mean-field- and classical limit of many-body Schrödinger dynamics for bosons
- The TDHF approximation for Hamiltonians with \(m\)-particle interaction potentials
- A description of the evolution of quantum states by means of the kinetic equation
- Dynamics of correlations of Bose and Fermi particles
- A mathematical description of the evolution of the state of infinite systems of classical statistical mechanics
- Mathematical Properties of Quantum Evolution Equations
- Role of scaling limits in the rigorous analysis of Bose-Einstein condensation
- Groups of Operators for Evolution Equations of Quantum Many-particle Systems
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