论文标题

内部磁通量对旋转点源产生的相对论自旋-1振荡器的影响

Effect of internal magnetic flux on a relativistic spin-1 oscillator in the spinning point source-generated spacetime

论文作者

Güvendi, Abdullah, Doğan, Semra Gürtaş

论文摘要

我们考虑在由旋转点源引起的2+1维空间中的内部磁通量的影响下,在内部磁通量的影响下,我们考虑了带电的相对论自旋-1振荡器。为了分析点源的内部磁通量和旋转对这种矢量场相对论动力学的影响,我们寻求一种与Zitterbewegung激发态的相关旋转1方程的非扰动解。通过执行结果方程的分析解决方案,我们确定了有关系统的确切结果。因此,我们分析了点源和内部磁通量对所考虑测试场相对论动力学的影响。我们看到,这种磁场的自旋可以通过磁通量改变,这意味着所考虑的系统可以根据磁通量的变化值作为fermion或玻色子行为。我们观察到内部磁通量和点源的自旋对相对论能级和概率密度函数的影响。同样,我们的结果表明,点源的自旋破坏了与粒子 - 抗粒子状态相对应的能级的对称性。

We consider a charged relativistic spin-1 oscillator under the influence of an internal magnetic flux in a 2+1 dimensional spacetime induced by a spinning point source. In order to analyze the effects of the internal magnetic flux and spin of the point source on the relativistic dynamics of such a vector field, we seek a non-perturbative solution of the associated spin-1 equation derived as an excited state of Zitterbewegung. By performing an analytical solution of the resulting equation, we determine exact results for the system in question. Accordingly, we analyze the effects of spin of the point source and internal magnetic flux on the relativistic dynamics of the considered test field. We see that the spin of such a field can be altered by the magnetic flux and this means that the considered system may behave as a fermion or boson according to the varying values of the magnetic flux, in principle. We observe that the internal magnetic flux and the spin of the point source impact on the relativistic energy levels and probability density functions. Also, our results indicate that the spin of the point source breaks the symmetry of the energy levels corresponding to particle-antiparticle states.

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