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290 papers · 1 filter
Sketch of a Gauge Model of Gravity with SU(2) Symmetry in Minkowski space
Nikolay Marchuk
We propose a gauge model with the SU(2) symmetry, which describes a gravitational interaction of fundamental fermions (leptons and quarks) in the Minkowski space. In the Standard M…
Classical elliptic Ruijsenaars-van Diejen model: relation to Zhukovsky-Volterra gyrostat and 1-site classical XYZ model with boundaries
A. Mostovskii, A. Zotov
We present a description of the classical elliptic Ruijsenaars-van Diejen model with 8 independent coupling constants through a pair of type classical Skl…
Classical r-matrix structure for elliptic Ruijsenaars chain and 1+1 field analogue of Ruijsenaars-Schneider model
D. Murinov, A. Zotov
The classical dynamical -matrix structure for the periodic elliptic Ruijsenaars chain is described. The Poisson brackets for the monodromy matrix are calculated as well, thus pr…
Symmetries of the periodic Fredkin chain
Andrei G. Pronko
The Fredkin chain is a spin- model with interaction of three nearest neighbors. In the case of periodic boundary conditions, the ground state is degenerate and can be describe…
Periodic Motzkin chain: Ground states and symmetries
Andrei G. Pronko
Motzkin chain is a model of nearest-neighbor interacting quantum spins with open boundary conditions. It is known that it has a unique ground state which can be viewed as a s…
Weak coupling limit for quantum systems with unbounded weakly commuting system operators
Ilya Lopatin, Alexander Pechen
This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagneti…