arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1108.3786hep-thgr-qc
收藏

存在磁场和标量势时宇宙弦时空中带电粒子的相对论量子动力学

Relativistic quantum dynamics of a charged particle in cosmic string spacetime in the presence of magnetic field and scalar potential

E. R. Figueiredo Medeiros, E. R. Bezerra de Mello

摘要:

本文分析了宇宙弦时空中存在均匀磁场和标量势时自旋为0和自旋为1/2的带电粒子的相对论量子运动。为了发展这种分析,我们假设磁场平行于弦,标量势呈现圆柱对称,它们的中心在弦上。考虑标量势$S(r)$的两种不同配置:$(i)$与极距的倒数成比例的势,即,$S\propto1/r$和$(ii)$与该距离成比例的电势,即,$S\propto r$。计算了不同物理条件下的能谱,并给出了能谱与磁场强度和标量耦合常数的关系。

英文摘要:

In this paper we analyze the relativistic quantum motion of charged spin-0 and spin-1/2 particles in the presence of a uniform magnetic field and scalar potentials in the cosmic string spacetime. In order to develop this analysis, we assume that the magnetic field is parallel to the string and the scalar potentials present a cylindrical symmetry with their center on the string. Two distinct configurations for the scalar potential, $S(r)$, are considered: $(i)$ the potential proportional to the inverse of the polar distance, i.e., $S\propto1/r$, and $(ii)$ the potential proportional to this distance, i.e., $S\propto r$. The energy spectra are explicitly computed for different physical situations and presented their dependences on the magnetic field strength and scalar coupling constants.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑