World sheet of a massive spinning particle in d = 4 Minkowski space
Autor: | D. S. Kaparulin, I. A. Retuntsev, S. L. Lyakhovich |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
010302 applied physics
Physics 010308 nuclear & particles physics Isotropy Пуанкаре группы General Physics and Astronomy Equations of motion Минковского пространство 01 natural sciences Unitary state Quantization (physics) Classical mechanics Irreducible representation Poincaré group 0103 physical sciences Minkowski space Spinning |
Zdroj: | Russian physics journal. 2019. Vol. 61, № 12. P. 2145-2154 |
Popis: | A geometrical model of a massive spinning particle, whose quantization corresponds to the unitary irreducible representation of the Poincare group, is considered. It is shown that the class of gauge-equivalent trajectories of the particle forms a cylindrical surface in d = 4 Minkowski space. Basing ourselves on the fact that the trajectories of the particle are cylindrical lines, we have obtained the equations of motion of the particle on a world sheet along timelike and isotropic trajectories. |
Databáze: | OpenAIRE |
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