We address the bound-state dynamics of a neutron with anomalous magnetic dipole moment in the presence of certain static electric fields. We show that the involved quantum systems can be described by an exactly solvable single particle model realized as: (i) the so-called Dirac oscillator; (ii) a particular kind of hydrogen atom-like system; (iii) an axial harmonic oscillator; where the Aharonov–Casher (AC) discrete states in \(3+1\) space-time dimensions are analyzed within the framework of supersymmetric quantum mechanics (SUSYQM).

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相对论中子与电场的相互作用

我们在存在某些静态电场的情况下，用异常磁偶极矩解决了中子的束缚态动力学问题。我们证明了所涉及的量子系统可以用一个可实现的完全可解的单粒子模型来描述：（i）所谓的狄拉克振荡器；（ii）一种特殊的类氢原子系统；（iii）轴向谐波振荡器；其中在超对称量子力学（SUSYQM）的框架内分析了\（3 + 1 \）时空维度中的Aharonov–Casher（AC）离散态。