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- W4300686564 abstract "The group theoretical approach to the relativistic wave equations on the real reducible spaces for spin~0, 1/2 and~1 massless particles is considered. The invariant wave equations which determine the appropriate irreducible representations are constructed. The coincidence of these equations with the general-covariant Klein-Gordon, Weyl and Maxwell equations on the corresponding spaces is shown. The explicit solutions of these equations possessing a simplicity and physical transparency are obtained in the form of so-called plane waves without using the method of separation of variables. The invariance properties of these plane waves for the spinless particles under the group $SO(3,1)$ were used for the construction of the invariant spin~0,1/2 and~1 two-point functions on the $H^3$. Secondly quantized spin~0,1/2 and~1 fields on the ${Bbb R}^{1}otimes H^{3}$ are constructed; their propagators which are their (anti)commutators in different points, are expressed in terms of the mentioned two-point functions. From here the ${Bbb R}^{1}otimes SO(3,1)$-invariance follows." @default.
- W4300686564 created "2022-10-04" @default.
- W4300686564 creator A5084577732 @default.
- W4300686564 date "1998-09-02" @default.
- W4300686564 modified "2023-09-27" @default.
- W4300686564 title "Group Theoretical Examination of the Relativistic Wave Equations on Curved Spaces. III. Real reducible spaces" @default.
- W4300686564 doi "https://doi.org/10.48550/arxiv.gr-qc/9809011" @default.
- W4300686564 hasPublicationYear "1998" @default.
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