A spin 1 particle in a cylindric basis: the projective operator method
| Autor: | A. V. Buryy, A. V. Ivashkevich, O. A. Semenyuk |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 58:398-411 |
| ISSN: | 2524-2415 1561-2430 |
| Popis: | In this paper, the system of equations describing a spin 1 particle is studied in cylindric coordinates with the use of tetrad formalism and the matrix 10-dimension formalism of Duffin – Kemmer – Petieau. After separating the variables, we apply the method proposed by Fedorov – Gronskiy and based on the use of projective operators to resolve the system of 10 equations in the r variable. In the presence of an external uniform magnetic field, we construct in an explicit form three independent classes of wave functions with corresponding energy spectra. Separately the massless field with spin 1 is studied; there are found four linearly independent solutions, two of which are gauge ones, and other two do not contain gauge degrees of freedom. Meanwhile, the method of Fedorov – Gronskiy is also used. |
| Databáze: | OpenAIRE |
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