Title: Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds Show Chinese title

Title: 在拓扑缺陷背景下的Aharonov-Bohm通量作用下的广义Duffin-Kemmer-Petiau振子

Abstract: In this article, we study the generalized Duffin-Kemmer-Petiau (DKP) oscillator under the influence of quantum flux field in the topological defects produced by a cosmic string space-time and point-like global monopole. The generalized DKP oscillator will be investigated through a non-minimal substitution of the momentum operator $\vec{p} \to \left(\vec{p}+i\,M\,\omega\,\eta^0\,f(r)\,\hat{r}\right)$ in the relativistic DKP equation. We solve this generalized DKP oscillator in a cosmic string space-time background and obtain the energy levels and wave function of the oscillator field using the parametric Nikiforov-Uvarov method. Afterwards, we solve the generalized DKP-oscillator in a point-like global monopole space-time and obtain the energy levels and wave functions following the same method. In fact, it is shown there that the energy eigenvalues are influenced by the topological defect of cosmic string and point-like global monopole and gets modified compared to flat space results, and breaks the degeneracy of the energy levels. Furthermore, we observe that the eigenvalue solutions depends on the quantum flux field that shows the gravitational analogue of the Aharonov-Bohm effect and also gives us a persistent currents Show Chinese abstract

Abstract: 在本文中，我们研究了在宇宙弦时空和点状全局单极子产生的拓扑缺陷影响下的广义Duffin-Kemmer-Petiau（DKP）振荡器的量子通量场。 通过在相对论DKP方程中的动量算符$\vec{p} \to \left(\vec{p}+i\,M\,\omega\,\eta^0\,f(r)\,\hat{r}\right)$的非最小替换，将研究广义DKP振荡器。 我们在宇宙弦时空背景中求解这个广义DKP振荡器，并使用参数Nikiforov-Uvarov方法获得振荡器场的能量水平和波函数。 随后，我们在点状全局单极子时空背景下求解广义DKP-振荡器，并使用相同的方法获得能量水平和波函数。 事实上，结果显示，能级受宇宙弦和点状全局单极子的拓扑缺陷影响，并与平坦空间结果相比有所修改，打破了能级的简并性。 此外，我们观察到本征值解依赖于量子通量场，这显示了阿哈罗诺夫-博姆效应的引力类比，并且还给我们提供了持续电流。