论文标题
通过Dirac振荡器相互作用相互作用的Fermion-antivermion对的相对论LANDAU级别
Relativistic Landau levels for a fermion-antifermion pair interacting through Dirac oscillator interaction
论文作者
论文摘要
我们引入了一个独特的模型，用于在存在外部均匀磁场的情况下通过DIRAC振荡器相互作用相互作用的费米抗体对。为了获得这种系统的非扰动能谱，我们解决了完全协变的两个身体dirac方程的相应形式。系统的动态对称性允许在三个维度上进行研究，相应的方程式导致了$ 4 \ times4 $维度矩阵方程，用于这种静态和无旋转的复合系统。我们可以获得矩阵方程的精确溶液，并在能量域中到达（以封闭形式）到达。获得的能量谱显示，在审查下的复合系统的行为就像单个相对论量子振荡器。结果，我们获得了通过dirac振荡器相互作用相互作用的fermion抗体对的相对论兰道水平，并确定相应的BI-Spinor的成分。我们认为，我们的结果可以提供有关夸克古夸克系统的启发性信息，从而为介子提供大规模公式。
We introduce a unique model for a fermion antifermion pair interacting through Dirac oscillator interaction in the presence of external uniform magnetic field. In order to acquire a non perturbative energy spectrum for such a system we solve the corresponding form of a fully covariant two body Dirac equation. The dynamic symmetry of the system allows to study in three dimensions and the corresponding equation leads a $4\times4$ dimensional matrix equation for such a static and spinless composite system. We can obtain an exact solution of the matrix equation and arrive at a spectrum (in closed form) in energy domain. The obtained energy spectrum shows that the composite system that under scrutiny behaves like a single relativistic quantum oscillator. As a result, we obtain relativistic Landau levels of a fermion antifermion pair interacting through Dirac oscillator interaction and determine the components of the corresponding bi-spinor. We think that our results can provide enlightening informations about the quark antiquark systems and thus mass formula for mesons.
