On Dynamics of Correlations in Quantum Many-Particle Systems

Abstract

The paper deals with the problem of the rigorous description of the evolution of states of large particle quantum systems by means of correlation operators. A nonperturbative solution of the Cauchy problem of the hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. For initial states specified in terms of a one-particle density operator and correlation operators we also develop an approach to the description of the processes of the creation and the propagation of correlations within the framework of a one-particle density operator. Moreover, the mean field asymptotic behavior of constructed marginal correlation operators is established.

17 pages. arXiv admin note: text overlap with arXiv:1407.1633

References in corpus (7)

• On the Dynamics of Large Particle Systems in the Mean Field Limit
• Dynamics of Correlations of Bose and Fermi Particles
• Towards Rigorous Derivation of Quantum Kinetic Equations
• Quantum Kinetic Equations of Many-Particle Systems in Condensed States
• Mean Field Asymptotic Behavior of Quantum Particles with Initial Correlations
• Approaches to Derivation of the Boltzmann Equation with Hard Sphere Collisions
• BBGKY Hierarchy and Dynamics of Correlations