Dirac-Schwarzschild哈密顿量的非相对论极限：引力Zitterbewegung和引力自旋轨道耦合
Nonrelativistic Limit of the Dirac-Schwarzschild Hamiltonian: Gravitational Zitterbewegung and Gravitational Spin-Orbit Coupling
摘要：
通过Foldy-Wouthuysen变换研究了引力耦合Dirac方程的非相对论极限。相对论修正项在引力zitterbewegung和引力自旋轨道耦合方面有直接和明显的物理解释。我们没有发现自旋矢量与引力的直接耦合，否则会违反宇称。我们最近在[Phys.Rev.A 87（2013）032101]中描述的粒子-反粒子对称性在通过Foldy-Wouthuysen变换获得的微扰校正水平上得到了验证。计算了电磁跃迁流的引力修正。
英文摘要：
We investigate the nonrelativistic limit of the gravitationally coupled Dirac Equation via a Foldy-Wouthuysen transformation. The relativistic correction terms have immediate and obvious physical interpretations in terms of a gravitational zitterbewegung, and a gravitational spin-orbit coupling. We find no direct coupling of the spin vector to the gravitational force, which would otherwise violate parity. The particle-antiparticle symmetry described recently by one of us in [Phys.Rev.A 87 (2013) 032101] is verified on the level of the perturbative corrections accessed by the Foldy-Wouthuysen transformation. The gravitational corrections to the electromagnetic transition current are calculated.
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