Quantum tests for non-inertial and general relativistic effects.

A possible solution of combining General Relativity and Quantum Mechanics is given by means of writing the Dirac equation in curved space-time using Weyl’s tetrad formalism.

First some background information is given about the necessity and problems of incorporating gravity into Quantum Mechanics. Then the fine details are described of how the Dirac Hamiltonian can be found in Riemannian spaces. The rest of the thesis is devoted to applying this method to describe the effects of stationary and rotating gravitational sources. This results a possible test of the Equivalence Principle in the quantum domain, as well as finding the limit of the applicability of various approximations of the Earth’s field. Finally a general relativistic treatment of the COW experiment is given.