The generalized Duffin–Kemmer–Petiau (DKP) oscillator with electromagnetic interactions in the curved spacetimes is investigated. We introduce firstly the generalized DKP oscillator in Som–Raychaudhuri spacetime with Cornell potential. Then, we consider the electromagnetic interactions into the generalized DKP oscillator. The energy eigenvalues and eigenfunction of our problem are obtained. The effects from the parameters of spacetime, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed. We find an analog effect for the bound states from the Aharonov–Bohm effect in our considered system.

中文翻译：

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Aharonov-Bohm 效应对 Som-Raychaudhuri 时空中广义 Duffin-Kemmer-Petiau 振子的影响

研究了在弯曲时空中具有电磁相互作用的广义 Duffin-Kemmer-Petiau (DKP) 振荡器。我们首先介绍了具有康奈尔势的 Som-Raychaudhuri 时空的广义 DKP 振荡器。然后，我们将电磁相互作用考虑到广义 DKP 振荡器中。得到了我们问题的能量特征值和特征函数。分析了时空参数、振子频率、康奈尔势和磁通量对能量本征值的影响。在我们考虑的系统中，我们发现了来自 Aharonov-Bohm 效应的束缚态的模拟效应。