Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Marchuk, An. G."'
Publikováno v:
Journal of Mathematical Sciences; Dec2024, Vol. 286 Issue 3, p429-440, 12p
Akademický článek
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Autor:
Marchuk, N. G., Shirokov, D. S.
Publikováno v:
Journal of Geometry and Symmetry in Physics, 42 (2016), 53-72
In this paper we present some new equations which we call Yang-Mills-Proca equations (or generalized Proca equations). This system of equations is a generalization of Proca equation and Yang-Mills equations and it is not gauge invariant. We present a
Externí odkaz:
http://arxiv.org/abs/1611.03070
Autor:
Marchuk, N. G., Shirokov, D. S.
Publikováno v:
Reports on Mathematical Physics, 78:3 (2016), 305-326
We find general solutions of some field equations (systems of equations) in pseudo-Euclidian spaces (so-called primitive field equations). These equations are used in the study of the Dirac equation and Yang-Mills equations. These equations are invar
Externí odkaz:
http://arxiv.org/abs/1406.6665
Autor:
Marchuk, N. G., Shirokov, D. S.
Publikováno v:
Azerbaijan Journal of Mathematics, 10:1 (2020), 38-56
Generalized Pauli's theorem, proved by D. S. Shirokov for two sets of anticommuting elements of a real or complexified Clifford algebra of dimension $2^n$, is extended to the case, when both sets of elements depend smoothly on points of Euclidian spa
Externí odkaz:
http://arxiv.org/abs/1201.4985
Autor:
Marchuk, N. G., Shirokov, D. S.
Publikováno v:
Adv. Appl. Clifford Algebr., 18:2 (2008), 237-254
For the complex Clifford algebra Cl(p,q) of dimension n=p+q we define a Hermitian scalar product. This scalar product depends on the signature (p,q) of Clifford algebra. So, we arrive at unitary spaces on Clifford algebras. With the aid of Hermitian
Externí odkaz:
http://arxiv.org/abs/0705.1641
Autor:
Marchuk, N. G., Martynova, S. E.
We show how the matrix algebra notions of determinant, spectrum, and Hermitian conjugation transfer to the Clifford algebra and to differential forms on parallelisable manifolds.
Externí odkaz:
http://arxiv.org/abs/math-ph/0307043
Autor:
Marchuk, N. G.
Publikováno v:
Dokl. Math., 68:2 (2003), 281-284
We present a so called Dirac-type tensor equation (DTTE). This equation is written in coordinateless form with the aid of differential operators $d$ and $\delta$. A wave function of DTTE belongs to a minimal left ideal of the algebra of exterior form
Externí odkaz:
http://arxiv.org/abs/math-ph/0307042
Autor:
Marchuk, N. G.
Publikováno v:
Nuovo Cim.B117:613-614,2002
We improve the concept of our previous paper "Dirac type tensor equations with nonabelian gauge symmetries on pseudo-Riemannian space" and present a new compact formula for the tensor $B_\mu$.
Externí odkaz:
http://arxiv.org/abs/math-ph/0211074
Autor:
Marchuk, N. G.
Publikováno v:
Nuovo Cim. B117 (2002) 511-520
We discuss a connection between the Dirac equation for an electron and the Dirac type tensor equation with ${\rm U}(1)$ gauge symmetry.
Externí odkaz:
http://arxiv.org/abs/math-ph/0211073