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Analysis of Nonholonomicity Value of Some Hamiltonian Fields values of Hamiltonian vector fields in sympletic spaces are analyzed in this article. Also it is important

Thermodynamic limit in vector lattice modelsClasses of Gibbs random fields u(x), x e Zᵈ on finite sets Л с Zᵈ, d e N with values in the space

Spinor-Like Hamiltonian for Maxwellian Optics the representation of the Lorentz spinors and Riemann-Silberstein vectors) we have constructed the Hamiltonian

Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert spaceRandom Hamiltonian flows in an infinite-dimensional phase space is represented by random unitary

Gauge symmetry of unimodular gravity in Hamiltonian formalism of the transverse vector fields. This gauge symmetry is reducible. We work out the Hamiltonian description

Multi-Hamiltonian formulations and stability of higher-derivative extensions of 3d Chern-SimonsMost general third-order 3d linear gauge vector field theory is considered. The field equations

Third order extensions of 3d Chern-Simons interacting to gravity: Hamiltonian formalism and stability of Chern–Simons. Once the gravity is minimally included into the third order vector field equations

Standard Model in Hamiltonian Approach and Higgs Effect of vector and spinor fields without the Higgs potential of this zeroth harmonic. In this case, the extremum

Extended Chern–Simons model for a vector multipletWe consider a gauge theory of vector fields in 3D Minkowski space. At the free level, the dynamical

Constrained Hamiltonian approach to the Maxwell theoryThe most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism

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