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arXiv · 1502.07427

A spectral method for half-integer spin fields based on spin-weighted spherical harmonics

Florian Beyer·Boris Daszuta·Joerg Frauendiener
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Abstract

We present a new spectral scheme for analysing functions of half-integer spin-weight on the $2$-sphere and demonstrate the stability and convergence properties of our implementation. The dynamical evolution of the Dirac equation on a manifold with spatial topology of $\mathbb{S}^2$ via pseudo-spectral method is also demonstrated.

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Florian Beyer, Boris Daszuta, Joerg Frauendiener. 2015-02-26. A spectral method for half-integer spin fields based on spin-weighted spherical harmonics. https://doi.org/10.1088/0264-9381/32/17/175013

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