Classification of quantum relativistic orientable objects
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2011
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Resumo |
Extending our previous work `Fields on the Poincare group and quantum description of orientable objects` (Gitman and Shelepin 2009 Eur. Phys. J. C 61 111-39), we consider here a classification of orientable relativistic quantum objects in 3 + 1 dimensions. In such a classification, one uses a maximal set of ten commuting operators (generators of left and right transformations) in the space of functions on the Poincare group. In addition to the usual six quantum numbers related to external symmetries (given by left generators), there appear additional quantum numbers related to internal symmetries (given by right generators). Spectra of internal and external symmetry operators are interrelated, which, however, does not contradict the Coleman-Mandula no-go theorem. We believe that the proposed approach can be useful for the description of elementary spinning particles considered as orientable objects. In particular, it gives a group-theoretical interpretation of some facts of the existing phenomenological classification of spinning particles. |
Identificador |
PHYSICA SCRIPTA, v.83, n.1, 2011 0031-8949 http://producao.usp.br/handle/BDPI/29448 10.1088/0031-8949/83/01/015103 |
Idioma(s) |
eng |
Publicador |
IOP PUBLISHING LTD |
Relação |
Physica Scripta |
Direitos |
restrictedAccess Copyright IOP PUBLISHING LTD |
Palavras-Chave | #POINCARE GROUP #ARBITRARY SPIN #HOMOGENEOUS SPACE #S-MATRIX #PARTICLES #FIELDS #MODEL #WAVEFUNCTIONS #SYMMETRIES #Physics, Multidisciplinary |
Tipo |
article original article publishedVersion |