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Fermion Quasi-Spherical Harmonics

G. Hunter·P. Ecimovic·I. Schlifer·I. M. Walker·D. Beamish·S. Donev·M. Kowalski·S. Arslan·S. Heck
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Abstract

Spherical Harmonics, $Y_\ell^m(θ,ϕ)$, are derived and presented (in a Table) for half-odd-integer values of $\ell$ and $m$. These functions are eigenfunctions of $L^2$ and $L_z$ written as differential operators in the spherical-polar angles, $θ$ and $ϕ$. The Fermion Spherical Harmonics are a new, scalar and angular-coordinate-dependent representation of fermion spin angular momentum. They have $4π$ symmetry in the angle $ϕ$, and hence are not single-valued functions on the Euclidean unit sphere; they are double-valued functions on the sphere, or alternatively are interpreted as having a double-sphere as their domain.

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BibTeXRIS

G. Hunter, P. Ecimovic, I. Schlifer, I. M. Walker, D. Beamish, S. Donev, M. Kowalski, S. Arslan, S. Heck. 1998-10-02. Fermion Quasi-Spherical Harmonics. https://doi.org/10.1088/0305-4470%2F32%2F5%2F011

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