Quantum Kinetic Equations of Many-Particle Systems in Condensed States
arXiv:1109.1998 · doi:10.1016/j.physa.2012.07.061
Abstract
This paper is devoted to the description of the evolution of states of quantum many-particle systems within the framework of a one-particle density operator, which enables to construct the kinetic equations in scaling limits in the presence of correlations of particle states at initial time, for instance, correlations characterizing the condensed states.
10 pages
References in corpus (6)
- Quantum Dynamics with Mean Field Interactions: a New Approach
- On Rigorous Derivation of the Enskog Kinetic Equation
- Dynamics of Correlations of Bose and Fermi Particles
- Towards Rigorous Derivation of Quantum Kinetic Equations
- Quantum Kinetic Evolution of Marginal Observables
- Kinetic Equations for Quantum Many-Particle Systems
Cited by in corpus (9)
- Mean Field Asymptotic Behavior of Quantum Particles with Initial Correlations
- On Semigroups of Large Particle Systems and their Scaling Asymptotic Behavior
- On Kinetic Equations Modeling Evolution of Systems in Mathematical Biology
- On Kinetic Equations for Collisional Dynamics of Active Soft Condensed Matter
- Kinetic equations and hierarchies of evolution equations of quantum systems
- Introduction to the Theory of Evolution Equations of Quantum Many-Particle Systems
- Mean Field Asymptotics of Generalized Quantum Kinetic Equation
- Cumulant expansions of operator groups of quantum many-particle systems
- On Dynamics of Correlations in Quantum Many-Particle Systems