Obukhov Y N
Institute of Theoretical Physics, Technical University of Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany.
Phys Rev Lett. 2001 Jan 8;86(2):192-5. doi: 10.1103/PhysRevLett.86.192.
The gravitational effects in the relativistic quantum mechanics are investigated. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled to the static spacetime metric. As a direct application, we analyze the nonrelativistic limit of the theory. The new term describing the specific spin (gravitational moment) interaction effect is recovered in the Hamiltonian. The comparison of the true gravitational coupling with the purely inertial case demonstrates that the spin relativistic effects do not violate the equivalence principle for the Dirac fermions.
研究了相对论量子力学中的引力效应。为与静态时空度规耦合的狄拉克粒子构造了精确的福尔德-伍斯胡森变换。作为直接应用,我们分析了该理论的非相对论极限。在哈密顿量中恢复了描述特定自旋(引力矩)相互作用效应的新项。将真实引力耦合与纯惯性情况进行比较表明,自旋相对论效应不违反狄拉克费米子的等效原理。