vestnovsuВестник Новгородского государственного университетаVestnik of Novgorod State University2076-8052Новгородский государственный университет имени Ярослава Мудрого10.34680/2076-8052.2023.5(134).727-734vestnovsu-265Research ArticleСтатьиРелятивистская модель межатомных взаимодействийRelativistic model of interatomic interactionshttps://orcid.org/0000-0002-7850-0086ЗахаровА. Ю.ZakharovA. Yu.

Захаров Анатолий Юльевич – доктор физико-математических наук, профессор, главный научный сотрудник 

 Великий Новгород 

 Veliky Novgorod 

Anatoly.Zakharov@novsu.ruhttps://orcid.org/0000-0002-9144-340XЗахаровМ. А.ZakharovM. A.

Захаров Максим Анатольевич – доктор физико-математических наук, доцент, профессор

 Великий Новгород 

 Veliky Novgorod 

Maxim.Zakharov@novsu.ruНовгородский государственный университет имени Ярослава МудрогоРоссияYaroslav-the-Wise Novgorod State UniversityRussian Federation20230602202405(134)727734Copyright © Захаров А.Ю., Захаров М.А., 20242024Захаров А.Ю., Захаров М.А.Zakharov A.Y., Zakharov M.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnovsu.elpub.ru/jour/article/view/265

Предложен метод релятивистского описания динамики систем взаимодействующих частиц через вспомогательное поле, которое в статическом режиме эквивалентно заданным межатомным потенциалам, а в динамическом режиме является классическим релятивистским полем. Установлено, что для статических межатомных потенциалов общего вида вспомогательное поле представляет собой композицию элементарных полей, удовлетворяющих уравнениям типа Клейна-Гордона. Каждое элементарное поле характеризуется комплексным параметром – аналогом вещественной массы в уравнении Клейна-Гордона. Взаимодействие между частицами через вспомогательное поле, нелокально как по пространственным переменным, так и по времени. Исследованы качественные свойства решений уравнений, описывающих вспомогательное поле. Установлены релятивистские механизмы как термодинамического поведения, так и синергетических эффектов в малочастичных системах.

In this paper, we propose a method for relativistic description of the dynamics of systems of interacting particles 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 of a general form, the auxiliary field is a composition of elementary fields satisfying the Klein-Gordon type equations. Each elementary field is characterized by a complex parameter which is an analogue of the real mass in the Klein-Gordon equation. The interaction between particles through an auxiliary field is nonlocal both in spatial variables and in time. The qualitative properties of solutions to equations describing the auxiliary field are studied. Relativistic mechanisms of both the thermodynamic behavior and synergetic effects in few-particle systems have been established.

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The authors declare that there are no conflicts of interest present.