arXiv subjects

A. Duviryak

Publications and source records attributed to A. Duviryak.

5 recordsLinked to original sources

arXiv2026

Free rotation of conducting and dielectric spheres in a uniform electrostatic field

Rotation of conducting and dielectric spherical particles levitating in the uniform electrostatic field is considered. A dipole moment of the spherical particle induced by the external uniform electrostatic field is inclined to the field if the particle rotates. This causes the torque braking the rotation. Vectors of dipole moment and torque depend both on an angular velocity of the particle and its electric properties. Equations of rotary motion of the particle levitating in the external field are integrable in quadratures. Few examples of the conducting and dielectric particles are solved explicitly.

physics.class-ph↗

arXiv2025

Conformal symmetry of the massless Staruszkiewicz model

It has been shown by Yu.~Yaremko [Elect. J. Theor. Phys. {\bf 9}, 153 (2012)] within the classial electrodynamics that the hypothetical massless charged particle must generate an infinitely strong radiation reaction, thus not an external force can accelerate this particle. Here the version the Staruszkiewicz model is presented to describe the relativistic system of two massless charged particles interacting as follows: the retarded field of the first particle acts on the second particle, the advanced field of the second particle acts on the first particle, and a radiation reaction is neglected. The model is formulated within the Hamiltonian formalism with constraints. The system is invariant with respect to 15-parametric conformal group. The corresponding conserved canonical generators and the relativistic Laplace-Runge-Lenz vector provide a superintegrability of the system. The trajectory of the unbounded relative motion is represented by the hyperbolic conic section, similarly to the case of the non-relativistic Kepler problem. Surprisingly, however, the particle world lines appears the isotropic rectilinear rays, i.e., the particles behave as if non-interacting or neutral electrically. This result agrees with the aforementioned Yaremko's work, despite that the radiation reaction in the Staruszkiewicz model is abandoned.

hep-th↗

arXiv2019

Classical mechanics of relativistic particle with colour

Classical description of relativistic pointlike particle with intrinsic degrees of freedom such as isospin or colour is proposed. It is based on the Lagrangian of general form defined on the tangent bundle over a principal fibre bundle. It is shown that the dynamics splits into the external dynamics which describes the interaction of particle with gauge field in terms of Wong equations, and the internal dynamics which results in a spatial motion of particle via integrals of motion only. A relevant Hamiltonian description is built too.

hep-th↗

arXiv1998

Isotropic Forms of Dynamics in the Relativistic Direct Interaction Theory

The Lagrangian relativistic direct interaction theory in the various forms of dynamics is formulated and its connections with the Fokker-type action theory and with the constrained Hamiltonian mechanics are established. The motion of classical two-particle system with relativistic direct interaction is analysed within the framework of isotropic forms of dynamics in the two- and four-dimensional space-time. Some relativistic exactly solvable quantum-mechanical models are also discussed.

hep-th↗

arXiv1998

Fokker-Type Confinement Models from Effective Lagrangian in Classical Yang-Mills Theory

Abelian potentials of pointlike moving sources are obtained from the nonstandard theory of Yang--Mills field. They are used for the construction of the time-symmetric and time-asymmetric Fokker-type action integrals describing the dynamics of two-particle system with confinement interaction. The time-asymmetric model is reformulated in the framework of the Hamiltonian formalism. The corresponding two-body problem is reduced to quadratures. The behaviour of Regge trajectories is estimated within the semiclassical consideration.

hep-th↗