On Evolution Equations for Marginal Correlation Operators
arXiv:1105.5822 · doi:10.1002/mma.2753
Abstract
This paper is devoted to the problem of the description of nonequilibrium correlations in quantum many-particle systems. The nonlinear quantum BBGKY hierarchy for marginal correlation operators is rigorously derived from the von Neumann hierarchy for correlation operators that give an alternative approach to the description of states in comparison with the density operators. A nonperturbative solution of the Cauchy problem of the nonlinear quantum BBGKY hierarchy for marginal correlation operators is constructed.
27 pages
References in corpus (7)
- Derivation of the Cubic Non-linear Schrödinger Equation from Quantum Dynamics of Many-Body Systems
- Mean-Field- and Classical Limit of Many-Body Schrödinger Dynamics for Bosons
- Mean-field limit and Semiclassical Expansion of a Quantum Particle System
- Dynamics of Correlations of Bose and Fermi Particles
- Towards Rigorous Derivation of Quantum Kinetic Equations
- Quantum Kinetic Evolution of Marginal Observables
- The von Neumann Hierarchy for Correlation Operators of Quantum Many-Particle Systems