Abstract
The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order o ( g ¯ ) in the coupling constant g ¯ . Based on the Riemann–Liouville fractional derivative definition, the fractional Zeeman effect is used to reproduce the baryon spectrum accurately. The transformation properties of the non-relativistic fractional Schrödinger-equation under spatial rotations are investigated and an internal fractional spin is deduced.
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