论文标题

与外部均匀磁场相互作用的相对充电的两个费米子的相对论动力学

The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field

论文作者

Guvendi, Abdullah, Dogan, Semra Gurtas

论文摘要

我们研究了与外部均匀磁场相互作用的相对充满电的相对论动力学。我们选择了每个费米的相互作用与对称仪表中的外部磁场的相互作用,并获得了相应的完全旋转的两体dirac方程的精确解决方案,该方程是通过动作原理从量子电动力学得出的。我们处理的系统的动态对称性使我们能够在不使用任何组理论方法的情况下确定这种无旋转复合系统的相对论Landau水平。结果,我们确定了相应的两体迪拉克汉密尔顿的特征和特征值

We investigated the relativistic dynamics of oppositely charged two fermions interacting with an external uniform magnetic field. We chose the interaction of each fermion with the external magnetic field in the symmetric gauge, and obtained a precise solution of the corresponding fully-covariant two-body Dirac equation that derived from Quantum Electrodynamics via Action principle. The dynamic symmetry of the system we deal with allowed us to determine the relativistic Landau levels of such a spinless composite system, without using any group theoretical method. As a result, we determined the eigenfunctions and eigenvalues of the corresponding two-body Dirac Hamiltonian

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