Classical relativistic dynamics of a system of interacting particles
https://doi.org/10.34680/2076-8052.2023.1(130).34-46
Abstract
A method is proposed for the relativistic description of the dynamics of systems of particles interacting through an auxiliary field which in the static mode is equivalent to given interatomic potentials, and in the dynamic mode is a classical relativistic field. It has been established that for static interatomic potentials, the Fourier transform of which is a rational algebraic function of the wave vector, the auxiliary field is a composition of elementary fields, each of which satisfies the Klein-Gordon equation, which is generally characterized by a complex mass. The interaction between particles through an auxiliary field is nonlocal both in space variables and in time (interaction retardation effect). A qualitative analysis of the relativistic dynamics of the simplest few-particle systems with retarded interaction has been carried out. The relativistic mechanisms of both thermodynamic behavior and synergetic effects in few-body systems have been established.
About the Author
A. Yu. Zakharov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Zakharov A. Yu.,
Veliky Novgorod.
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Review
For citations:
Zakharov A.Yu. Classical relativistic dynamics of a system of interacting particles. Title in english. 2023;(1(130)):34-46. (In Russ.) https://doi.org/10.34680/2076-8052.2023.1(130).34-46
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