Abstract
We investigate the geodesic motions of pseudo-classical spin- \(\frac{1}{2}\) point particles in the Euclidean Taub-NUT space. We derive the constants of motion from the solutions of the generalized Killing equations for spinning spaces and exploiting those the motion of pseudo-classical Dirac fermions are analyzed on a cone and plane.
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Banu, A., Ansary, M.A. Geodesic Motions in Euclidean Taub-NUT Spinning Spaces. Int J Theor Phys 48, 2987–3000 (2009). https://doi.org/10.1007/s10773-009-0094-y
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DOI: https://doi.org/10.1007/s10773-009-0094-y