Nonlinear Semi-Classical 3D Quantum Spin

TL;DR

This paper proposes a 3D nonlinear dynamics model to represent quantum spin, using a two-sided torque function and magnetic field simulation, revealing chaotic behavior but limited in reproducing quantum statistics.

Contribution

It introduces a novel 3D nonlinear semi-classical model with a two-sided torque function to mimic quantum spin behavior.

Findings

Model exhibits chaos under nonlinear damping.

Struggles to reproduce quantum spin statistics consistently.

Uses a full 3D magnetic field representation.

Abstract

In an effort to provide an alternative method to represent a quantum spin, a precise 3D nonlinear dynamics method is used. A two-sided torque function is created to mimic the unique behavior of the quantum spin. A full 3D representation of the magnetic field of a Stern-Gerlach device was used as in the original experiment. Furthermore, the temporarily driven nonlinear damped model exhibits chaos, but struggles to be consistent through azimuthal angles in reproducing the quantum spin statistics.