4 papers
The Existence and Uniqueness Theorem for Solution of Generalized Hydrodynamical Equation
V. O. Shtyk
On the basis of the sequence of marginal observables the evolution equations of the microscopic phase density and its generalizations is discussed. We introduced dual BBGKY hierarc…
From BBGKY Hierarchy to Non-Markovian Evolution Equations
V. I. Gerasimenko, V. O. Shtyk, A. G. Zagorodny
The problem of description of the evolution of the microscopic phase density and its generalizations is discussed. With this purpose, the sequence of marginal microscopic phase den…
Hydrodynamic Equations for Microscopic Phase Densities
V. I. Gerasimenko, V. O. Shtyk, A. G. Zagorodny
The evolution equations for the generalized microscopic phase densities are introduced. The evolution equations of average values of microscopic phase densities are derived and a s…
The von Neumann Hierarchy for Correlation Operators of Quantum Many-Particle Systems
V. I. Gerasimenko, V. O. Shtyk
The Cauchy problem for the von Neumann hierarchy of nonlinear equations is investigated. One describes the evolution of all possible states of quantum many-particle systems by the…