000 02560nab a2200301 c 4500
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003 RU-ToGU
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007 cr |
008 170626|2017 ru s a eng dd
024 7 _a10.1007/s11182-017-1002-1
_2doi
035 _ato000578377
040 _aRU-ToGU
_brus
_cRU-ToGU
100 1 _aGitman, Dmitri M.
_989274
245 1 0 _aOrientable objects in relativistic quantum theory
_cD. M. Gitman, A. L. Shelepin
504 _aБиблиогр.: 27 назв.
520 3 _aAn approach to the quantum description of the orientation of relativistic particles, generalizing the approach to nonrelativistic objects possessing orientation (in particular, a rotator) is proposed, based on the self-consistent use of two reference frames. The realization of such an approach is connected with the introduction of wave functions f (x, z) on the Poincar group M(3,1), which depend on the coordinates xμ of the Minkowski space M(3,1)/Spin(3,1) and orientational variables assigned by the elements zβα of the matrix Z ∈Spin(3,1).The field f (x, z) is the generating function for ordinary spin-tensor fields and admits a number of symmetries. Besides the Lorentz transformations (corresponding to the action of the Poincar group from the left and interpretable as external symmetries), transformations of a reference frame associated with an orientable object (corresponding to the action of the Poincar group from the right and interpretable as internal symmetries) are applicable to orientable objects. In addition to the six quantum numbers assigned by the Casimir operators and the left generators, quantum numbers arise here that are assigned by the right generators and are associated with internal symmetries. The assumption that the internal symmetries of the theory of orientable objects are local leads to gauge theories describing the electroweak and gravitational interactions
653 _aрелятивистская теория поля
653 _aориентируемые объекты
653 _aвнутренние симметрии
655 4 _aстатьи в журналах
_9879358
700 1 _aShelepin, A. L.
_9473182
773 0 _tRussian physics journal
_d2017
_gVol. 59, № 11. P. 1962-1970
_x1064-8887
852 4 _aRU-ToGU
856 7 _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000578377
908 _aстатья
999 _c419791