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Berry phase effects in the dynamics of Dirac electrons in doubly special relativity framework |
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| Authors: | Pierre Gosselin Alain Bérard Hervé Mohrbach Subir Ghosh |
| Institution: | 1. Institut Fourier, UMR 5582 CNRS-UJF, UFR de Mathématiques, Université Grenoble I, BP74, 38402 Saint Martin d''Hères Cedex, France;2. Laboratoire de Physique Moléculaire et des Collisions, ICPMB-FR CNRS 2843, Université Paul Verlaine-Metz, 57078 Metz Cedex 3, France;3. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Calcutta 700108, India |
| Abstract: | We consider the Doubly Special Relativity (DSR) generalization of Dirac equation in an external potential in the Magueijo–Smolin base. The particles obey a modified energy–momentum dispersion relation. The semiclassical diagonalization of the Dirac Hamiltonian reveals the intrinsic Berry phase effects in the particle dynamics. |
| Keywords: | κ-Minkowski spacetime DSR Foldy&ndash Wouthuysen |
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