A Spinning Particle in a Mobius Strip

TL;DR

This paper develops a classical and quantum framework for a spinning particle constrained to a Mobius strip, with potential implications for condensed matter physics and topological insulators.

Contribution

It introduces a novel Lagrangian and quantization method for a spinning particle on a Mobius strip, bridging classical and quantum descriptions.

Findings

Formulated a Lagrangian for a spinning particle on a Mobius strip

Quantized the system using constraint Hamiltonian formalism

Potential applications in topological insulators and condensed matter physics

Abstract

We develop the classical and quantum theory of a spinning particle moving in a Mobius strip. We first propose a Lagrangian for such a system and then we proceed to quantize the system via the constraint Hamiltonian system formalism. Our results may be of particular interest in several physical scenarios, including solid state physics and optics. In fact, the present work may shed some new light on the recent discoveries on condensed matter concerning topological insulators.