Second-order wave equation for spin-1/2 fields: 8-Spinors and canonical formulation |
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Authors: | Nicola Cufaro-Petroni Philippe Gueret Jean-Pierre Vigier |
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Institution: | (1) Istituto Nazionale di Fisica Nucleare e Dipartimento di Fisica dell'Universita', Bari, Italy;(2) Institut de Mathématiques pures et appliquées, Université P. et M. Curie, 4, Place Jussieu, 75230 Paris, France;(3) Institut H. Poincaré, Laboratoire de Physique Théorique, 11, rue P. et. M. Curie, 75231 Paris, France |
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Abstract: | The algebraic structure of the 8-spinor formalism is discussed, and the general form of the 8-component wave equation, equivalent to the second-order 4-component one, is presented. This allows a canonical formulation that will be the first stage of the future Clebsch parametrization, i.e., a relativistic generalization of the Bohm-Schiller-Tiomno pioneering work on the Pauli equation. |
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