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Abstract <p> We consider the linear Stark effect in the five-dimensional <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(SU(2)\)</EquationSource> </InlineEquation> 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 <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(SU(2)\)</EquationSource> </InlineEquation> Yang–Coulomb problem in the presence of a constant homogeneous electric field. </p>

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

  • 期刊论文

  • 发表日期：

    2025年11月25日

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  • L. G. Mardoyan

摘要

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.