Few simple rules to fix the dynamics of classical systems using operators

TL;DR

This paper introduces a set of rules for constructing Hamiltonian operators to describe the dynamics of classical systems with exchanging processes, providing a new operator-based approach.

Contribution

It proposes a novel method to derive Hamiltonian operators for classical systems using simple rules, bridging operator techniques with classical dynamics.

Findings

Operators effectively describe exchanging processes in classical systems.

The rules enable derivation of system dynamics from the Hamiltonian.

The approach offers a new perspective on classical system evolution.

Abstract

We show how to use operators in the description of {\em exchanging processes} often taking place in (complex) classical systems. In particular, we propose a set of rules giving rise to an {\em hamiltonian} operator for such a system $\Sc$, which can be used to deduce the dynamics of $\Sc$.