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Rotation Symmetry and Nonabelian Berry Potential

1992/10/09 by Hyun Kyu Lee, Lee, Hyun Kyu, Mannque Rho +1
Chemistry · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Synthesis and Properties of Aromatic Compounds #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-th/9210048

12 pages, HYUPT-92/07

arxiv created 1992/10/09 · openalex publication_date 1992/10/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the role of rotational symmetry in the systems where nonabelian Berry potentials emerge as a result of integrating out fast degrees of freedom. The conserved angular momentum is constructed in the presence of a non-abelian Berry potential, which is formulated using Grassmann variables. The modifications on conventional angular momentum are discussed in close analogy with monopole systems. The diatomic molecular system discussed by Zygelman is found to have a similar structure to that of a non-abelian SU(2) charge coupled to a 't Hooft - Polyakov monopole. The abelian limit of the Berry potential in diatomic systems is shown to be the same as U(1) monopole and in a large separation limit, we observe the decoupling associated with a vanishing field tensor.

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