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A Spinning Particle in a Mobius Strip

2011/02/28 by J. A. Nieto, Nieto, J. A., Raúl Pérez-Enríquez +2
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #High Energy Physics - Theory (hep-th) #Other Condensed Matter (cond-mat.other) #Quantum Physics (quant-ph) #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.other #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.1102.5748

16 pages, Latex, 2 figures

arxiv created 2011/02/28 · openalex publication_date 2011/02/28 · arxiv updated 2011/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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