An Interdisciplinary Journal

* 2023, Vol.26, No.1, pp.41 - 58*

In the paper, a spin 1 particle with anomalous magnetic and electric quadruple moments
has been examined in presence of the external uniform electric and magnetic fields.
A generalized 10-dimensional Duffin–Kemmer–Petiau equation is specified in cylindrical
coordinates (*t, r, φ z*) and corresponding tetrad. Solutions with cylindric symmetry are
searched. On constructed solutions we diagonalize the operators of the energy and third
projection of the total angular momentum. First, after separating the variables we derive
the system of 10 first order differential equations for functions *F _{A}* (

**Key words: **
spin 1 particle, anomalous magnetic moment, electric quadruple moment, generalized
Duffin–Kemmer–Petiau equation, superposition of uniform magnetic and electric fields, projective
operators, exact solutions

**DOI: **
https://doi.org/10.33581/1561-4085-2023-26-1-41-58

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Last updated: *April 17, 2023*