Dirac field, gravity, inertial effects, and computer algebra

摘要

The article presents some new results obtained for the non-relativistic approximation of the Dirac equation in a non-inertial reference frame - rotated and accelerated and in Schwarzschild gravitational field. These results are obtained with new routines of algebraic programming in REDUCE + EXCALC language for the Dirac equation in a nan-inertial reference frame and after three successive Foldy-Wouthuysen transformations.