A spin 1 particle in a cylindric basis: the projective operator method
https://doi.org/10.29235/1561-2430-2022-58-4-398-411
Abstract
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.
About the Authors
A. V. Buryy
B.I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Anton V. Buryy – Postgraduate Student, Junior Researcher, B.I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus.
68-2, Nezavisimosti Ave., 220072, Minsk
A. V. Ivashkevich
B.I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Alina V. Ivashkevich – Postgraduate Student, Junior Researcher, B.I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus.
68-2, Nezavisimosti Ave., 220072, Minsk
O. A. Semenyuk
Brest State University named after A.S. Pushkin
Belarus
Belarus
Olga A. Semenyuk – Postgraduate Student, Brest State University named after A.S. Pushkin.
21, Kosmonavtov Blvd, 224016, Brest
References
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