Dynamical relations in the system of two objects with internal degrees of freedom

TL;DR

This paper develops equations for two interacting objects with internal spin degrees of freedom, revealing energy exchange dynamics and relations between subsystem and system parameters.

Contribution

It introduces a new system of equations for objects with internal degrees of freedom and establishes energy relations, highlighting oscillatory energy exchange.

Findings

Subsystem energies are oscillatory functions of time.

Relations between subsystem and system parameters are derived.

Energy exchange between objects is characterized as continuous and oscillatory.

Abstract

A system of $N$ interacting objects with internal degrees of freedom is considered. Derivation of system of equations for the description of two interacting objects with spin is given. Relations between the parameters describing subsystems and the parameters describing the system as a whole are obtained. In particular, relation between energies of subsystems and energy of system is found, on the basis of which the assumption is made that energy of subsystem should be oscillatory functions of time, so that interaction between objects is reduced to permanent energy exchange