论文标题
全球单极时空中自旋零量子振荡器场的相对论运动，外部电位和AB效应
Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
论文作者
论文摘要
在本文中，我们分析了在aharonov-bohm（AB）磁通量存在下，在由点样全局单极（PGM）产生的时空背景中的零相对论量子振荡器。之后，我们引入了静态库仑型标量电位，随后在量子系统中具有相同类型的向量电位。我们通过分析求解广义的klein-gordon振荡器，以获取不同的功能（例如库仑和康奈尔型函数），并在每种情况下获得结合状态解决方案。我们讨论了与时空的标量曲率和库仑型外部电势对能量曲线和这些振荡器场的波功能相关的拓扑缺陷的影响。此外，我们表明获得的能量特征值取决于磁量子通量，这导致了Aharonov-bohm（AB）效应的重力类似物
In this paper, We analyze a spin-zero relativistic quantum oscillator in the presence of the Aharonov-Bohm (AB) magnetic flux in a space-time background produced by a point-like global monopole (PGM). Afterward, we introduce a static Coulomb-type scalar potential and subsequently with the same type of vector potential in the quantum system. We solve the generalized Klein-Gordon oscillator analytically for different functions (e.g. Coulomb- and Cornell-type functions) and obtain the bound-states solutions in each case. We discuss the effects of topological defects associated with the scalar curvature of the space-time and the Coulomb-type external potentials on the energy profiles and the wave function of these oscillator fields. Furthermore, we show that the obtained energy eigenvalues depend on the magnetic quantum flux which gives rise to the gravitational analog of the Aharonov-Bohm (AB) effect
