L. G. Mardoyan, “Stark effect in the <nobr>$SU(2)$</nobr> Yang–Coulomb problem”, TMF, 2025, Volume 225, Number 2,Pages <nobr>352

Stark effect in the $SU(2)$ Yang–Coulomb problem

L. G. Mardoyan^ab

^a Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia
^b Yerevan State University, Yerevan, Armenia

Abstract: We consider the linear Stark effect in the five-dimensional $SU(2)$ Yang–Coulomb problem. We show that a constant homogeneous electric field completely removes the degeneracy of energy levels in terms of both the orbital quantum number and the isospin of the system. We obtain an explicit expression for the additional integral of motion for the $SU(2)$ Yang–Coulomb problem in the presence of a constant homogeneous electric field.

Keywords: Stark effect, $SU(2)$ Yang–Coulomb problem, $SU(2)$ monopole harmonics, isospin, degeneracy.

Received: 07.02.2025
Revised: 27.05.2025

DOI: 10.4213/tmf10935