Our work mainly study the relativistic generalized boson oscillator namely generalized Duffin–Kemmer–Petiau (DKP) oscillator with the function [Formula: see text] considered as the Cornell potential under the chiral conical space–time background. We obtain the wave function and energy spectrum of radial equation by using commonly used the Nikiforov–Uvarov method. It is shows that the energy spectrum of the generalized DKP oscillator depend explicitly on the angular deficit [Formula: see text], related rotation parameter [Formula: see text] and torsion parameter [Formula: see text], which characterize the global structure of the metric in the chiral conical space–time. In addition, the Cornell potential parameters [Formula: see text] have non-negligible influence on the energy spectrum of the studied systems.

中文翻译：

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手性圆锥时空广义玻色子振荡器的研究

我们的工作主要研究相对论广义玻色子振子，即广义Duffin-Kemmer-Petiau（DKP）振子，其函数[公式：见正文]被认为是手性锥形时空背景下的康奈尔势。我们利用常用的 Nikiforov-Uvarov 方法获得了径向方程的波函数和能谱。结果表明，广义 DKP 振荡器的能谱显式依赖于角差 [公式：见正文]、相关旋转参数 [公式：见正文] 和扭转参数 [公式：见正文]，它们表征了整体结构手性圆锥时空中的度量。此外，康奈尔势参数 [公式：见正文] 对所研究系统的能谱具有不可忽略的影响。