Nonrelativistic approximation of the Dirac equation for slow fermions in static metric spacetimes

作者:Ivanov A N*; Pitschmann M
来源:Physical Review D - Particles, Fields, Gravitation and Cosmology, 2014, 90(4): 045040.
DOI:10.1103/PhysRevD.90.045040

摘要

We analyze the nonrelativistic approximation of the Dirac equation for slow fermions, having small kinetic energies compared to their rest energy m and moving in spacetimes with a static metric, caused by the weak gravitational field of the Earth and a chameleon field, and derive the most general effective gravitational potential to order 1/m, induced by a static metric of spacetime excluding possible rotations of the coordinate frame. The derivation of the nonrelativistic Hamilton operator of the Dirac equation is carried out by using a standard Foldy-Wouthuysen transformation. We discuss the chameleon field as source of a torsion field and torsion-matter interactions.

  • 出版日期2014-8-28