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Publications Influence

On Symmetry Properties of Quaternionic Analogs of Julia Sets

- A. Bogush, A. Gazizov, Y. Kurochkin, V. T. Stosui
- Physics, Mathematics
- 26 May 2001

By means of theory group analysis, some algebraic and geometrical properties of quaternion analogs of \emph{Julia} sets are investigated. We argue that symmetries, intrinsic to quaternions, give rise… Expand

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Symmetry properties of quaternionic and biquaternionic analogs of Julia sets

- A. Bogush, A. Gazizov, Y. Kurochkin, V. T. Stosui
- Mathematics
- 2003

The symmetries intrinsic to quaternions and biquaternions give rise to a class of identical Julia sets, which does not exist in the complex number case. In the case of quadratic mapping X k + 1 = eX… Expand

3

Schr\"{o}dinger particle in magnetic and electric fields in Lobachevsky and Riemann spaces

- A. Bogush, V. Red'kov, G. Krylov
- Physics
- 20 February 2010

Schr\"{o}dinger equation in Lobachevsky and Riemann 4-spaces has been solved in the presence of external magnetic field that is an analog of a uniform magnetic field in the flat space. Generalized… Expand

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Duffin-Kemmer-Petiau formalism reexamined: non-relativistic approximation for spin 0 and spin 1 particles in a Riemannian space-time

- A. Bogush, V. Kisel', N. Tokarevskaya, V. Red'kov
- Physics
- 1 October 2007

It is shown that the generally covariant Duffin-Kemmer-Petiau equation, formulated in the frame of the Tetrode-Weyl-Fock-Ivanenko tetrad formalism, allows for a non-relativistic approximation if the… Expand

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Results of the sanitation work in trichinellosis foci of Belorussia.

- H. S. Goregljad, A. Bogush
- Medicine
- Wiadomosci parazytologiczne
- 1970

1

Maxwell equations in complex form of Majorana–Oppenheimer, solutions with cylindric symmetry in Riemann S3 and Lobachevsky H3 spaces

- A. Bogush, G. Krylov, E. Ovsiyuk, V. Red'kov
- Mathematics, Physics
- 5 July 2009

Complex formalism of Riemann–Silberstein–Majorana–Oppenheimer in Maxwell electrodynamics is extended to the case of arbitrary pseudo-Riemannian space-time in accordance with the tetrad recipe of… Expand

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Green function renormalization in SU(2)L ⊗ U(1) four-fermion model

- A. Bogush, S. Kruglov, N. N. Karpuk
- Physics
- 1984

Using the Dyson-Schwinger equation, the four-fermion Green functions in one-loop approximation to the SU(2)L ⊗ U(1) four-fermion model are found, as well as corrections to them. An expression is… Expand

GENERAL CALCULATIONS OF MATRIX ELEMENTS FOR POLARIZED VECTOR PARTICLES

- A. Bogush, A. I. Bolsun
- Physics
- 11 April 1964

Cayley–Dickson Procedure, Relativistic Wave Equations and Supersymmetric Oscillators

- A. Bogush, Y. Kurochkin
- Mathematics
- 1998

The relativistic first-order wave equations for massive particles with spin 0,1,1/2 are formulated in terms of a factorization of the Klein–Fock equation by means of the algebra of octonions. An… Expand

5

Spin 1 Particle in a 15-Component Formalism, Interaction with Electromagnetic and Gravitational Fields

- V. Kisel', N. Tokarevskaya, A. Bogush, V. Red'kov
- Physics
- 13 September 2003

A generalized vector particle theory with the use of an extended set of Lorentz group irredicible representations, including scalar, two 4-vectors, and antisymmetric 2-rang tensor, is investigated.… Expand