Possible Knot-type Time-dependent Quantum-mechanically Dynamical System

TL;DR

This paper explores a quantum-mechanical system that models the dynamic traversal of trefoil and $8_{18}$ knots over time, with implications for understanding composite particles in initial or final states.

Contribution

It introduces a novel quantum system framework that captures knot-type time-dependent phase dynamics relevant to particle configurations.

Findings

Model demonstrates traversal of specific knots over time.

Relevance established for composite particle configurations.

Provides a schematic illustration of quantum knot dynamics.

Abstract

We illustrate schematically a possible traversing along the path of trefoil-type and $8_{18}$ knots during a specific time period by considering a quantum-mechanic system which satisfies a specific kind of phase dynamics of quantum mechanics. This result is relevant to the composite particle which is present in the initial or final configuration.