SOLVABLE TWO-PARTICLE SYSTEMS WITH TIME-ASYMMETRIC INTERACTIONS IN DE SITTER SPACE

被引：0

作者：

Duviryak, A. ^{[1
]}

机构：

[1] NAS Ukraine, Inst Condensed Matter Phys, 1 Svientsitskii St, UA-79011 Lvov, Ukraine

来源：

JOURNAL OF PHYSICAL STUDIES | 2022年 / 26卷 / 03期

关键词：

de Sitter space; time-asymmetric models; integrable systems; MOTION; FIELD; PARTICLES; EQUATIONS; DISTANCE;

D O I：

10.30970/jps.26.3002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The two-particle models in de Sitter space-time with time-asymmetric retarded-advanced interactions are constructed. Particular cases of the field-type electromagnetic and scalar interactions are considered. The manifestly covariant descriptions of the models within the Lagrangian and Hamiltonian formalisms with constraints are proposed. It is shown that the models are de Sitter-invariant and integrable. An explicit solution of equations of motion is derived in quadratures by means of the projection operator technique.

引用

页数：14

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