Doklady of the National Academy of Sciences of Belarus

УРАВНЕНИЕ ПАУЛИ ДЛЯ ЧАСТИЦЫ СО СПИНОМ 1 В СФЕРИЧЕСКОМ ПРОСТРАНСТВЕ РИМАНА, ТОЧНЫЕ РЕШЕНИЯ

Е. М. Овсиюк

Published May 31, 2016• 0 citations

Abstract

The system of nonrelativistic Pauli equations for a spin 1 particle is solved in the case of the Riemann space of constant positive curvature. The system of three interrelated radial equations is divided into two subsystems with the use of a space reflection operator: one and two equations, respectively. The first is solved in hypergeometric functions straightforwardly. The second subsystem gives two 4-order ordinary differential equations; they are solved with the use of the factorization method: energy spectra and wave functions are found.

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