Перегляд за автором "Skrypnik, W.I."

Результати 1-12 з 12

BBGKY hierarchy and its evolution operator for one class of integrable systems

Skrypnik, W.I. (Український математичний журнал, 1995)

We define the abstract BBGKY hierarchy and its formal evolution operator. The existence of the latter is established in a special Banach space for a system of charged particles with Chern-Simons interaction regularized for ...
Equilibrium in quantum systems of particles with magnetic interaction. Fermi and bose statistics

Skrypnik, W.I. (Український математичний журнал, 1997)

Quantum systems of particles interacting via an effective electromagnetic potential with zero electrostatic component are considered (magnetic interaction). It is assumed that the j th component of the effective potential ...
Long-range order in Gibbs lattice classical linear oscillator systems

Skrypnik, W.I. (Український математичний журнал, 2006)

The existence of the ferromagnetic long-range order (lro) is proved for Gibbs classical lattice systems of linear oscillators interacting via a strong polynomial pair nearest neighbor (n-n) ferromagnetic potential and other ...
Long-range order in linear ferromagnetic oscillator systems. Strong pair quadratic n-n potential

Skrypnik, W.I. (Український математичний журнал, 2004)

Long-range order is proved to exist for lattice linear oscillator systems with ferromagnetic potential energy containing a term with strong nearest-neighbor (n-n) quadratic pair potential. A contour bound and a generalized ...
Long-range order in quantum lattice systems of linear oscillators

Skrypnik, W.I. (Український математичний журнал, 2006)

The existence of the ferromagnetic long-range order is proved for equilibrium quantum lattice systems of linear oscillators whose potential energy contains a strong ferromagnetic nearest-neighbor (nn) pair interaction term ...
On Gibbs quantum and classical particle systems with three-body forces

Skrypnik, W.I. (Український математичний журнал, 2006)

For equilibrium quantum and classical systems of particles interacting via ternary and pair (nonpositive) infinite-range potentials, a low activity convergent cluster expansion for their grand canonical reduced density ...
On lattice oscillator equilibrium equation with positive infinite-range many-body potentials

Skrypnik, W.I. (Condensed Matter Physics, 2010)

The symmetrized lattice Kirkwood-Salsburg (KS) equation for the Gibbs grand canonical correlation functions of the lattice oscillators, interacting via positive infinite-range manybody potentials, is solved. The symmetrization ...
On Polymer Expansion for Gibbsian States of Nonequilibrium Systems of Interacting Brownian Oscillators

Skrypnik, W.I. (Український математичний журнал, 2003)

The convergence of polymer cluster expansions for correlation functions of general Gibbs oscillator-type systems and related nonequilibrium systems of Brownian oscillators is established. The initial states for the latter ...
On polymer expansions for generalized Gibbs lattice systems of oscillators with ternary interaction

Skrypnik, W.I. (Український математичний журнал, 2013)

We propose a new short proof of the convergence of high-temperature polymer expansions in the thermodynamic limit of canonical correlation functions for classical and quantum Gibbs lattice systems of oscillators interacting ...
On the lattice oscillator-type Kirkwood–Salsburg equation with attractive many-body potentials

Skrypnik, W.I. (Український математичний журнал, 2010)

We consider a lattice oscillator-type Kirkwood–Salsburg (KS) equation with general one-body phase measurable space and many-body interaction potentials. For special choices of the measurable space, its solutions describe ...
Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line

Skrypnik, W.I. (Український математичний журнал, 2014)

Periodic and bounded solutions of the Coulomb equation of motion in the line are obtained for two and three identical negative point charges in the fields of two and three symmetrically located fixed point charges. The ...
Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States

Dorlas, T.C.; Skrypnik, W.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)

Quantum models on the hyper-cubic d-dimensional lattice of spin-1/2 particles interacting with linear oscillators are shown to have three ferromagnetic ground state order parameters. Two order parameters coincide with the ...

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Перегляд за автором "Skrypnik, W.I."

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