Spinor Green's functions via spherical means on products of space forms

DOI10.1016/j.geomphys.2010.09.021zbMath1210.53055arXiv1003.5615OpenAlexW2059937771WikidataQ126020435 ScholiaQ126020435MaRDI QIDQ617952

Niky Kamran, Alberto Enciso

Publication date: 14 January 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5615

zbMATH Keywords

Klein-Gordon equationspherical means on product manifoldsspinor Green functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Green's functions for elliptic equations (35J08)

Cites Work

• Gaugino mass in AdS space
• Wave equations on Lorentzian manifolds and quantization.
• Green's function for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces
• Spinor two-point functions in maximally symmetric spaces
• The spinor heat kernel in maximally symmetric spaces
• Pointwise Fourier inversion: A wave equation approach
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• The Friedrichs extension of singular differential operators
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Gravitino propagator in anti-de Sitter space
• Pointwise fourier inversion and related eigenfunction expansions
• Spinor parallel propagator and Green function in maximally symmetric spaces
• The fermion propagator in cosmological spaces with constant deceleration
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