arXiv subjects

O. O. Zhmudskyy

Publications and source records attributed to O. O. Zhmudskyy.

5 recordsLinked to original sources

arXiv2021

The spin group of fermions

It was shown that in the small Wigner group there is a one-parameter subgroup of the Lorentz transformations, which leave unchanged not only the momentum of the fermion with spin h/2, but also its spin characteristics. This is the group of symmetry transformations of the moving fermion. These transformations consist of rotations around the projection axis of the spin and boosts coordinated with them. In other words, there are infinitely many frames of reference in which the fermion has the same momentum and the same spin projection onto the selected axis, although these frames move relative to each other and have been rotated relative to each other.

quant-ph↗

arXiv2015

The universal expression for the amplitude square in quantum electrodynamics

The universal expression for the amplitude square |u_f M u_i|^2 for any matrix of interaction M is derived. It has obvious covariant form. It allows the avoidance of calculation of products of the Dirac's matrices traces and allows easy calculation of cross-sections of any different processes with polarized and unpolarized particles.

physics.gen-ph↗

arXiv2013

The hypercomplex equations for fermion interaction description

Equations are proposed for the description of the fermion interaction via massive and massless bosons. These equations lead to the propagators which maintain theory renormalization. These equations are also invariant with respect to the limited calibration transformations. Such an approach leads to the possibility of describing fermion interaction via massive bosons and not referring to the spontaneous symmetry violation.

physics.gen-ph↗

arXiv2013

The first order equations for scalar bosons

It is shown that, in contrast to the generally accepted opinion, there exist first order equations for the scalar bosons. Such equations are proposed below. They are similar to the Proca equations and Maxwell equations for the vector bosons.

physics.gen-ph↗

arXiv2006

Hypercomplex Dirac Equation and Electrodynamics of Non-Conserved Charges

It is shown that the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudo-vector and antisymmetric 4-tensor second rank field. If mass is assumed to be zero this system splits into two subsystems. Equations containing tensor, scalar and pseudoscalar fields coincide with Maxwell equations complemented by scalar and pseudoscalar fields. This system describes the electrodynamics of non-conserved charges. The scalar and pseudoscalar fields are generated only by the non-conserved charges - electric and hypothetical magnetic. The influence of these fields on the charged particles is very unusual - it causes a change of their rest mass. This allows us to give a new look at the Wigner paradox and mechanism of mass renormalization.

quant-ph↗