Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Kanatchikov, Igor V."'
We show that the Milgromian acceleration of MOND and the cosmological constant can be understood and quantified as the effects of quantum fluctuations of spin connection which are described by precanonical quantum gravity put forward by one of us ear
Externí odkaz:
http://arxiv.org/abs/2311.05525
On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction
The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-Weyl covariant Hamiltonian formalism and the corresponding polysymplect
Externí odkaz:
http://arxiv.org/abs/2212.14845
Autor:
Kanatchikov, Igor V.
Publikováno v:
Rep. Math. Phys. 82 (2018) 373
A relation between the precanonical quantization of pure Yang-Mills fields and the functional Schr\"odinger representation in the temporal gauge is discussed. It is shown that the latter can be obtained from the former when the ultraviolet parameter
Externí odkaz:
http://arxiv.org/abs/1805.05279
Autor:
Kanatchikov, Igor V.
We discuss a generalization of the Ehrenfest theorem to the recently proposed precanonical quantization of vielbein gravity which proceeds from a space-time symmetric generalization of the Hamiltonian formalism to field theory. Classical Einstein-Pal
Externí odkaz:
http://arxiv.org/abs/1602.01083
The polysymplectic analysis of the Short Pulse Equation known in nonlinear optics is used in order to construct a geometric polysymplectic integrator for it. The proposed scheme turns out to be much more effective than other standard integration sche
Externí odkaz:
http://arxiv.org/abs/1512.09105
Autor:
Kanatchikov, Igor V.
Precanonical quantization is based on a generalization of the Hamiltonian formalism to field theory, the so-called De Donder-Weyl (DW) theory, which does not require a spacetime splitting and treats the space-time variables on an equal footing. Quant
Externí odkaz:
http://arxiv.org/abs/1512.09137
Autor:
Kanatchikov, Igor V.
Publikováno v:
Int.J.Theor.Phys. 37 (1998) 333-342
Elements of the quantization in field theory based on the covariant polymomentum Hamiltonian formalism (the De Donder-Weyl theory), a possibility of which was originally discussed in 1934 by Born and Weyl, are developed. The approach is based on a re
Externí odkaz:
http://arxiv.org/abs/quant-ph/9712058
Basic structures of the covariant canonical formalism for fields based on the De Donder--Weyl theory
Autor:
Kanatchikov, Igor V.
We discuss a field theoretical extension of the basic structures of classical analytical mechanics within the framework of the De Donder--Weyl (DW) covariant Hamiltonian formulation. The analogue of the symplectic form is argued to be the {\em polysy
Externí odkaz:
http://arxiv.org/abs/hep-th/9410238
Autor:
Kanatchikov, Igor V.
The analogue of the Poisson bracket for the De Donder-Weyl (DW) Hamiltonian formulation of field theory is proposed. We start from the Hamilton- Poincar\'{e}-Cartan (HPC) form of the multidimensional variational calculus and define the bracket on the
Externí odkaz:
http://arxiv.org/abs/hep-th/9312162
