38 citations · 128 across the 17 of their papers we have counts for
17 papers
Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion
Alexei A. Deriglazov
Rigidity conditions for a body considered as a discrete system of relativistic particles are proposed. They by themselves do not yet determine an evolution of the system, and some…
Variational problem and Hamiltonian formulation of the Lagrange-d'Alembert equations with nonlinear nonholonomic constraints
Alexei A. Deriglazov
Any given system of ordinary differential equations in -dimensional configuration space can be obtained from a peculiar variational problem with one local symmetry. The obtained…
Rotation matrix of a charged symmetrical body: one-parameter family of solutions in elementary functions
Alexei A. Deriglazov
Equations of motion of a charged symmetrical body in external constant and homogeneous electric and magnetic fields are deduced starting from the variational problem, where the bod…
An asymmetrical body: example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect
Alexei A. Deriglazov
We solved the Poisson equations, obtaining their exact solution in elementary functions for the rotation matrix of a free asymmetrical body with angular velocity vector lying on se…
Semiclassical Description of Relativistic Spin without use of Grassmann variables and the Dirac equation
A. A. Deriglazov
We propose a relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Both \,-matrices and the relativistic spin…
Generalization of the Extended Lagrangian Formalism on a Field Theory and Applications
A. A. Deriglazov, B. F. Rizzuti
Formalism of extended Lagrangian represent a systematic procedure to look for the local symmetries of a given Lagrangian action. In this work, the formalism is discussed and applie…