The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time

Yi Yang1, Zheng-Wen Long, Qi-Kang Ran, Hao Chen, Zi-Long Zhao, Chao-Yun Long

Published 2021-06-23Version 1

The relativistic quantum dynamics of the generalized Klein-Gordon (KG) oscillator having position-dependent mass in the G\"{o}del-type space-time is investigated. We have presented the generalized KG oscillator in this space-time, and discussed the effect of Cornell potential and linear potential for our considered system. The modification from the parameters of position-dependent mass and characterizing the space-time for the energy spectrums are presented.