The Kirillov picture for the Wigner particle
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| Συγγραφείς: | , , , |
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| Μορφή: | artículo original |
| Ημερομηνία έκδοσης: | 2018 |
| Περιγραφή: | We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, labelled by elements of the enveloping algebra of the Poincaré Lie algebra. Now, the coadjoint orbit procedure introduced by Kirillov is a prelude to quantization. Here we exhibit for those particles the classical Casimir functions on phase space, in parallel to quantum representation theory. A good set of position coordinates are identified on the coadjoint orbits of the Wigner particles; the stabilizer subgroups and the symplectic structures of these orbits are also described. |
| Χώρα: | Kérwá |
| Ίδρυμα: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/81786 |
| Διαθέσιμο Online: | https://iopscience.iop.org/article/10.1088/1751-8121/aac3b3 https://hdl.handle.net/10669/81786 |
| Λέξη-Κλειδί : | Wigner particle Continuous spin Coadjoint orbits |