We investigate quantum motion of spin-0 scalar particles in the presence of a uniform magnetic field including quantum flux under the effects of Cornell- and Coulomb-type potentials in cosmic string space-time. We evaluate the energy eigenvalues and eigenfunctions and analyze a relativistic analogue of the Aharonov-Bohm effect. We show that the potentials allow the formation of bound states solution, and the dependence of the magnetic field on quantum numbers of the system gives a quantum effect.

中文翻译：

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在拓扑缺陷时空的磁场和量子通量下，库仑和康奈尔型势对自旋 0 标量粒子的影响

我们研究了在宇宙弦时空中康奈尔和库仑型势的影响下，在均匀磁场（包括量子通量）存在下自旋 0 标量粒子的量子运动。我们评估能量特征值和特征函数并分析 Aharonov-Bohm 效应的相对论类比。我们表明，势允许形成束缚态解，并且磁场对系统量子数的依赖性给出了量子效应。