Relativistic model of interatomic interactions in condensed systems

Anatoly Yu. Zakharov; Maxim A. Zakharov

doi:10.17308/kcmf.2023.25/11480

Anatoly Yu. Zakharov Yaroslav-the-Wise Novgorod State University, 41, ul. Bolshaya Saint Petersburgskaya, Veliky Novgorod 173003, Russian Federation https://orcid.org/0000-0002-7850-0086
Maxim A. Zakharov Yaroslav-the-Wise Novgorod State University, 41, ul. Bolshaya Saint Petersburgskaya, Veliky Novgorod 173003, Russian Federation https://orcid.org/0000-0002-9144-340X

DOI: https://doi.org/10.17308/kcmf.2023.25/11480

Keywords: Interatomic potentials, Classical relativistic dynamics, Retarded interactions, Irreversibility phenomenon, Klein-Gordon-Fock equation

Abstract

A method was proposed to describe the dynamics of systems of interacting atoms in terms of an auxiliary field. The field is equivalent to the specified interatomic potentials at rest, and represents the classical relativistic field under dynamic conditions. It was determined that for central interatomic potentials, allowing for the Fourier transform, the auxiliary field is a superposition of elementary fields satisfying the Klein-Gordon-Fock equation with complex mass parameters

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Author Biographies

Anatoly Yu. Zakharov, Yaroslav-the-Wise Novgorod State University, 41, ul. Bolshaya Saint Petersburgskaya, Veliky Novgorod 173003, Russian Federation

Dr. Sci. (Phys.-Math.), Full
Professor, Professor at the Department of General and
Experimental Physics, Yaroslav-the-Wise Novgorod
State University (Veliky Novgorod, Russian Federation)

Maxim A. Zakharov, Yaroslav-the-Wise Novgorod State University, 41, ul. Bolshaya Saint Petersburgskaya, Veliky Novgorod 173003, Russian Federation

Dr. Sci. (Phys.-Math.), Docent,
Professor at the Department of Solid State Physics and
Microelectronics, Yaroslav-the-Wise Novgorod State
University (Veliky Novgorod, Russian Federation)

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