2001/12/31 by Yuri N. Obukhov
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1002/1521-3978(200205)50:5/7<711::aid-prop711>3.0.co;2-z
published as Fortsch.Phys.50:711-716,2002 · Latex (buckow.sty), 6 pages; Invited talk presented at the Symposium on the Centennial of Werner Heisenberg: Works And Impact, Bamberg, Germany, 26-30 September 2001
arxiv created 2001/12/31 · arxiv updated 2015/06/25
We discuss some aspects of the gravitational interaction of the relativistic quantum particles with spin 1/2. The exact Foldy-Wouthuysen transformation is constructed for the Dirac particle coupled to the static spacetime metric. The quasi-relativistic limit of the theory is then analyzed. Using the analogous method, we obtain the exact Cini-Touschek transformation and discuss the ultra-relativistic limit of the fermion theory. We show that the Foldy-Wouthuysen transformation is not uniquely defined, and the corresponding ambiguity is deeply rooted in the relativistic quantum theory.