We have investigated the effects of rotation on a scalar field subject to the Aharonov–Bohm effect, an effect arising from a particular and possible scenario, from the theoretical point of view, of the Kaluza–Klein theory. Through the boundary condition induced by the non-inertial effect, for a particular case, we analyze a scalar particle in a region bounded by the cylindrical surfaces and under the effects of a hard-wall confining potential. In addition, a scalar particle with position-dependent mass interacting with the Coulomb-type potential. Then, in this scenario of the Kaluza–Klein theory in a uniformly rotating frame, we analyze the Klein–Gordon oscillator. In all cases an effect analogous to the Sagnac effect is observed on the relativistic energy levels determined analytically.

中文翻译：

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Kaluza-Klein 理论中旋转对标量场的影响

我们研究了旋转对受 Aharonov-Bohm 效应影响的标量场的影响，从 Kaluza-Klein 理论的理论观点来看，这是一种由特定且可能的情景引起的效应。通过由非惯性效应引起的边界条件，对于一个特定的情况，我们分析了一个由圆柱表面包围的区域中的标量粒子，并在硬壁约束势的影响下。此外，具有与位置相关的质量与库仑势相互作用的标量粒子。然后，在均匀旋转框架中的 Kaluza-Klein 理论场景中，我们分析了 Klein-Gordon 振子。在所有情况下，在分析确定的相对论能级上都观察到类似于萨格纳克效应的效应。