000 | 02560nab a2200301 c 4500 | ||
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001 | vtls000578377 | ||
003 | RU-ToGU | ||
005 | 20230319210702.0 | ||
007 | cr | | ||
008 | 170626|2017 ru s a eng dd | ||
024 | 7 |
_a10.1007/s11182-017-1002-1 _2doi |
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035 | _ato000578377 | ||
040 |
_aRU-ToGU _brus _cRU-ToGU |
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100 | 1 |
_aGitman, Dmitri M. _989274 |
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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 |
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700 | 1 |
_aShelepin, A. L. _9473182 |
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773 | 0 |
_tRussian physics journal _d2017 _gVol. 59, № 11. P. 1962-1970 _x1064-8887 |
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852 | 4 | _aRU-ToGU | |
856 | 7 | _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000578377 | |
908 | _aстатья | ||
999 | _c419791 |