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arXiv · 2110.13833

Confined Klein-Gordon oscillator from a (2+1)-dimensional G\"{u}rses to a G\"{u}rses or a pseudo-G\"{u}rses space-time backgrounds: Invariance and isospectrality

Omar Mustafa
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Abstract

We study the Klein-Gordon (KG) oscillator with a Cornell-type scalar confinement in (2+1)-dimensional G\"{u}rses 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 G\"{u}rses space-time background. Moreover, we consider the confined-deformed KG-oscillator from a (2+1)-dimensional G\"{u}rses to G\"{u}rses and pseudo-G\"{u}rses space-time backgrounds. The resulting confined-deformed KG-oscillators are found to admit invariance and isospectrality with each other

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Omar Mustafa. 2021-10-26. Confined Klein-Gordon oscillator from a (2+1)-dimensional G\"{u}rses to a G\"{u}rses or a pseudo-G\"{u}rses space-time backgrounds: Invariance and isospectrality. https://doi.org/10.1140/epjc%2Fs10052-022-10085-7

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