Confined Klein-Gordon oscillator from a (2+1)-dimensional Gurses to a Gurses or a pseudo-Gurses space-time backgrounds: Invariance and isospectrality

Abstract

We study the Klein-shGordon (KG) oscillator with a Cornell-type scalar confinement in (2+1)-dimensional Gurses space-time backgrounds and report their exact solutions. The effect of the vorticity parameter Omega on the energy levels is found to yield some interesting features like; energy levels-crossings, partial clustering of positive and negative energy levels, and shifting the energy gap upwards or downwards. Such confined KG-oscillators are also studied in a general deformed Gurses space-time background. Moreover, we consider the confined-deformed KG-oscillator from a (2+1)-dimensional Gurses to Gurses and pseudo-Gurses space-time backgrounds. The resulting confined-deformed KG-oscillators are found to admit invariance and isospectrality with each other.