论文标题
可溶解的两粒子系统在DE STATER空间中具有时间相对的相互作用
Solvable two-particle systems with time-asymmetric interactions in de Sitter space
论文作者
论文摘要
构建了De Sitter时空中的两粒子模型，并构建了具有时间空间的智障增态相互作用。考虑了场型电磁和标量相互作用的特定情况。提出了对Lagrangian和Hamiltonian形式主义的模型的显着协变描述，并提出了约束。结果表明，模型是保姆的不变且可集成的。运动方程式的明确解通过投影操作员技术中的四足动物得出。
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.
