Effects of rotation on a scalar field in a Kaluza–Klein theory

Abstract

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.