Solvable two-particle systems with time-asymmetric interactions in de Sitter space

2020/07/06 by Askold Duviryak, Duviryak, Askold · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems

paper · doi:10.48550/arxiv.2007.03524

openalex publication_date 2020/07/06 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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 projection operator technique.

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