Spectral analysis of the Dirac operator on a 3-sphere

DOI10.7153/oam-2018-12-31zbMath1394.35390arXiv1605.08589OpenAlexW3099313912WikidataQ129713142 ScholiaQ129713142MaRDI QIDQ3174843

Michael Levitin, Dmitri Vassiliev, Yan-Long Fang

Publication date: 18 July 2018

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08589

zbMATH Keywords

Dirac operatorspectral asymmetrygeneralized Berger spheres

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Solution algorithm of the inverse spectral problem for Dirac operator with a spectral parameter in the boundary condition ⋮ Global propagator for the massless Dirac operator and spectral asymptotics ⋮ Analyzing the spectral (a)symmetry of the massless Dirac operator on the 3-torus ⋮ Invariant subspaces of elliptic systems I: pseudodifferential projections

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