Dirac operator on the Riemann sphere

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dc.creatorAbrikosov Jr, A. A.
dc.date2002-12-11
dc.date.accessioned2026-07-07T04:14:39Z
dc.date.available2026-07-07T04:14:39Z
dc.descriptionWe solve for spectrum, obtain explicitly and study group properties of eigenfunctions of Dirac operator on the Riemann sphere $S^2$. The eigenvalues $λ$ are nonzero integers. The eigenfunctions are two-component spinors that belong to representations of SU(2)-group with half-integer angular momenta $l = |λ| - \half$. They form on the sphere a complete orthonormal functional set alternative to conventional spherical spinors. The difference and relationship between the spherical spinors in question and the standard ones are explained.
dc.description18 pages, no figures, plain LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0212134
dc.identifierhttp://arxiv.org/abs/hep-th/0212134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51700
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleDirac operator on the Riemann sphere
dc.typetext

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