Physics of Particles and Nuclei Letters

, Volume 11, Issue 7, pp 1003–1005 | Cite as

On integrable isospin particle system on high dimensional quaternionic systems

  • Vahagn Yeghikyan


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 ℍℙ n with the presence of Yang’s monopole.


Projective Space Nucleus Letter Total Space Free Particle Quantum Hall Effect 
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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Yerevan State UniversityYerevanArmenia

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