Study Of The Oscillator Under The Generalized Uncertainty Principle And Som-Raychaudhuri Space-Time

Oscillator has been developed in all fields of physics because it is one classical model of physics.In recent years,the studies of oscillator have gradually became a hot spot under the background of generalized uncertainty principle or curved space-time.This paper mainly discusses two parts:The DKP oscillator under the generalized uncertainty principle is studied.The expression of the DKP oscillator is obtained through the transformations of momentum and coordinate under the generalized uncertainty principle.By using the confluent hypergeometric equation,the energy levels of this system are determined and we analyze this energy levels.The result shows the energy levels decrease with the increase of the GUP parameter.The DKP oscillator with linear potential under the generalized uncertainty principle is also studied,and the result is obtained by using same method.Motivated by the work of cosmic string and G(?)del-type space-time,we study the generalized Klein-Gordon oscillator in the Som-Raychaudhuri space-time.Two cases including the Klein-Gordon oscillator and the generalized Klein-Gordon oscillator with Coulomb potential which interact with the uniform magnetic field are respectively studied.The equations of the energy eigenvalue of two cases are given by using the biconfluent Heun equation and the analogue effect on the Aharonov-Bohm effect is obtained in this scenario.On this basis,we also give the influence of different parameters including the angular parameter,oscillator frequencyand the potential parameter₂ on the energy of the considered systems,in addition,we discuss the energy level of the state n=1.