On integrable isospin particle system on high dimensional quaternionic systems
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- Yeghikyan, V. Phys. Part. Nuclei Lett. (2014) 11: 1003. doi:10.1134/S1547477114070474
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We explicitly construct the projection map of a fibration of odd-dimensional complex projective space over quaternionic projective one. Performing a Hamiltonian reduction by U(1) subset of the isometries of both total space and bundle we construct an integrable system of free particle on ℍℙn with the presence of Yang’s monopole.