Eigenvalues and eigenfunctions of the Dirac operator on spheres and pseudospheres

DOI10.1063/1.530539zbMath0805.58061OpenAlexW1978034858MaRDI QIDQ4314197

Eric Clarkson

Publication date: 20 November 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530539

zbMATH Keywords

eigenvalue problemspherespectrumDirac operatoreigenfunctionsClifford algebraspinorpseudospheretangent fieldsmetric manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Quantum field theory on curved space or space-time backgrounds (81T20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Cites Work

• Physical algebras in four dimensions. I: The Clifford algebra in Minkowski spacetime
• Dirac equation in external vector fields: Separation of variables
• Separation of variables in the Dirac equation in Stackel spaces
• Neutrino in the presence of gravitational fields: Separation of variables
• Scalar and spinor solutions in the space-time of a domain wall
• Spinors and the Dirac operator on hypersurfaces. I. General theory
• Neutrino in the presence of gravitational fields: Exact solutions
• Axially symmetric vector fields and their complex potentials

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