Nonlinear Phenomena in Complex Systems, 2026, Vol.29, No.3, pp.246

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2026, Vol.29, No.3, pp.246 - 256

Spin 1/2 Neutral Particle with 3 Additional Characteristics in Electric and Magnetic Fields

A. V. Bury, A. N. Kuzmich, P. O. Sachenok, A. V. Ivashkevich, E. M. Ovsiyuk, and V. M. Red'kov

Equation for a spin 1/2 neutral particle possessing three additional characteristics is examined in uniform magnetic and electric fields. Solutions with cylindrical symmetry are searched. On solutions, operators of the energy and the third projection of the total angular momentum are diagonalized. After separating the variables, a system of 4 linked differential equations in partial derivatives with respect to cylindrical coordinates (r,z) is derived. With the use of a special algebraization method, the $r$-dependence of the searched solutions is fixed through the confluent hypergeometric functions. Then a system of 4 linked differential equations in z-coordinate is derived; which is solved as well with the use of algebraization method. The constructed wave functions depend substantially on three additional characteristics. Analytical results are studied numerically. tissue.

Key words: spin 1/2, neutral particle, additional characteristics, generalized Dirac-like equation, electric and magnetic fields, exact solutions

DOI: https://doi.org/10.5281/zenodo.23278453

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