Exact solution of the Pauli equation in the presence of a magnetic field in a spinning cosmic string spacetime

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-09-02 DOI:10.1016/j.aop.2025.170206

M.D. de Oliveira, Alexandre G.M. Schmidt

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Abstract

We study the Landau quantization of a spin-1/2 charged particle in the background of a spinning cosmic string, using the Pauli equation. The interaction between the particle’s spin, the magnetic field, and spacetime rotation leads to different radial equations for each component of the Pauli spinor. As a result, the upper and lower spinor components differ, each associated with its own principal quantum number and effective angular momentum. The effective angular momentum is influenced by the magnetic field, cosmic string, space rotation and spin. By analyzing a particular case where the eigenenergies are independent of the spin orientation, we find that the magnetic field must be quantized. These eigenenergies reflect both spin–magnetic field interaction and the influence of spacetime rotation. We examine an asymptotic case between angular momentum and the rotation of space, and we also present a graphical analysis of the magnetic field and the energy levels, comparing cases with and without an internal structure for the cosmic string.

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在旋转宇宙弦时空中存在磁场时泡利方程的精确解

利用泡利方程研究了自旋1/2带电粒子在自旋宇宙弦背景下的朗道量子化。粒子的自旋、磁场和时空旋转之间的相互作用导致泡利旋量的每个分量的径向方程不同。因此，上下旋量分量不同，每个旋量分量都有自己的主量子数和有效角动量。有效角动量受磁场、宇宙弦、空间旋转和自旋的影响。通过分析本征能与自旋方向无关的特殊情况，我们发现磁场必须量子化。这些特征能既反映了自旋磁场的相互作用，也反映了时空旋转的影响。我们研究了角动量和空间旋转之间的渐近情况，我们也给出了磁场和能级的图形分析，比较了宇宙弦有和没有内部结构的情况。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.