Journal of Physical Studies 26(3), Article 3002 [14 pages] (2022)
DOI: https://doi.org/10.30970/jps.26.3002

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

A. Duviryak 

Institute for Condensed Matter Physics of NAS of Ukraine,
1, Svientsitskii St., Lviv, UA–79011, Ukraine
e-mail:duviryak@icmp.lviv.ua

Received 30 March 2022; in final form 09 June 2022; accepted 04 July 2022; published online 14 September 2022

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.

Key words: de Sitter space, time-asymmetric models, integrable systems

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