Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivska Street, 01601 Kyiv-4, UKRAINE
e-mail: galkin@imath.kiev.ua

Equation for particles with spin 3/2 interacting with electromagnetic field

Abstract:
We consider tensor-bispinor equation, which describe doublets of particles with an arbitrary half-integer spin and nonzero masses interacting with external electromagnetic field by using nonminimal coupling. We obtain the energy levels of the particle with spin 3/2 in constant magnetic field and find the conditions when $\varepsilon\geq 0$ for all values of magnetic field and an arbitrary gyromagnetic ratio g.  Moreover, the motion of particle with spin 3/2 in constant electric and magnetic fields is studied.