论文标题
电磁场中的广义Quaternion Free Rotational Dirac方程和纺纱溶液
Generalized quaternionic free rotational Dirac equation and spinor solutions in the electromagnetic field
论文作者
论文摘要
从Quaternionic Minkowski时空及其四矢量表示开始，开发了电磁场中Quaternionic Dirac方程的旋转类似物，不仅包括能量解决方案，还包括用于旋转零零毛虫的角动量溶液。 Quaternionic方法的引人注目的特征是它描述了单个框架中能量摩托车的统一表示作为时空。此外，我们建立了与对应于其偶极矩相对应的广义电和磁偶极子能量相关的广义schrodinger-pauli样方程。因此，目前的分析涉及洛伦兹，仪表，二元性和CPT不变性下扩展的Quaternion旋转dirac方程的不变行为。
Starting with the quaternionic Minkowski space-time and its four-vector representation, a rotational analogue of the quaternionic Dirac equation in the electromagnetic field is developed, which includes not only the energy solutions but also the angular momentum solutions for rotating Dirac fermions. The striking feature of the quaternionic approach is that it depicts a unified representation of energy-momentum in a single framework as the space-time. Furthermore, we establish the generalized Schrodinger-Pauli-like equation associated with generalized electric and magnetic dipole energies that corresponding to their dipole moments. As such, the present analysis deals with the invariant behavior of the extended quaternionic rotational Dirac equation under Lorentz, gauge, duality, and CPT invariance.
