In this paper, the relativistic and non-relativistic behavior of charged Dirac fermions is investigated in the presence of a Kratzer-like potential under the influence of a broken Lorentz symmetry in space-time with the cosmic screw dislocation background. The effect of the Lorentz symmetry breaking is defined by a fixed vector field. We indicate the interaction of a charged Dirac fermion with a magnetic field determined by an electromagnetic field tensor in the background involving a Kratzer-like potential generated by the Lorentz symmetry violation effect. In this way, the energy eigenvalues and relevant wave functions of the generalized Dirac and Schrödinger-Pauli equation in the presence of the induced Kratzer-like potential are obtained by an analytical method.

在本文中，研究了带电狄拉克费米子的相对论和非相对论行为，在宇宙螺旋位错背景下，在时空洛伦兹对称性破缺的影响下，存在类似 Kratzer 的势能。洛伦兹对称破缺的影响由固定矢量场定义。我们指出带电的狄拉克费米子与背景中的电磁场张量确定的磁场的相互作用，涉及由洛伦兹对称破坏效应产生的类似克拉泽的电位。这样，通过解析方法得到了广义狄拉克和薛定谔-泡利方程在诱导类克拉泽势存在下的能量特征值和相关波函数。