Spin 1 Particle With Anomalous Magnetic Moment in External Uniform Electric Field, Solutions With Cylindrical Symmetry
Artykuł naukowy w czasopiśmie recenzowanyCzasopismo: MATHEMATICAL METHODS IN THE APPLIED SCIENCES (ISSN: 0170-4214)
Współautorzy: Alina Ivashkevich Viktor Red’kov
Rok wydania: 2025
Tom: 48
Numer czasopisma: 9
Strony od-do: 9640-9652
Streszczenie: A generalized 10-dimensional Duffin–Kemmer–Petiau equation for spin 1 particle with anomalous magnetic moment is examined in cylindrical coordinates (𝑡, 𝑟, 𝜙, 𝑧) in the presence of the external uniform electric field oriented along the axis 𝑧. On solutions, we diagonalize operators of the energy and third projection of the total angular momentum. First, we derive the system of 10 equations in partial derivatives for functions 𝐹𝑖(𝑟, 𝑧) = 𝐺𝑖(𝑟)𝐻𝑖(𝑧) (𝑖 =1,10). The use of the method based on the projective operators permits us to express 10 variables 𝐺𝑖(𝑟) through only three different functions 𝑓1(𝑟), 𝑓2(𝑟), 𝑓3(𝑟), which are solved in Bessel functions. After that, we derive the system of 10 first-order differential equations for functions 𝐻𝑖(𝑧). This system reduces to one independent equation for a separate function and to the system of two linked equations for two remaining primary functions. This system after diagonalization of the mixing matrix gives two separated equations for new variables. All three equations for basic functions are solved in terms of the confluent hypergeometric functions. Thus, the complete system of solutions with cylindrical symmetry for the vector particle with anomalous magnetic moment in the presence of the external uniform electric field is found.
Słowa kluczowe: Anomalous magnetic moment, cylindrical symmetry, exact solutions, external electric field, method of the projective operators, partial differential equations, spin 1 particle
DOI: https://doi.org/10.1002/mma.10831
Cytowanie w formacie Bibtex:
@article{1,
author = "Aliaksandr Chychuryn and Alina Ivashkevich Viktor Red’kov",
title = "Spin 1 Particle With Anomalous Magnetic Moment in External Uniform Electric Field, Solutions With Cylindrical Symmetry",
journal = "MATHEMATICAL METHODS IN THE APPLIED SCIENCES",
year = "2025",
number = "9",
pages = "9640-9652"
}
Cytowanie w formacie APA:
Chychuryn, A. and Alina Ivashkevich Viktor Red’kov(2025). Spin 1 Particle With Anomalous Magnetic Moment in External Uniform Electric Field, Solutions With Cylindrical Symmetry. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 9, 9640-9652.