  In this paper, the principles of the general relativity are used to formulate
quantum wave equations for spin-0 and spin-1/2 particles. More specifically,
the equations are worked in a Schwarzschild-like metric. As a test, the
hydrogen atom spectrum is calculated. A comparison of the calculated spectrum
with the numerical data of the deuterium energy levels shows a significant
improvement of the accord, and the deviations are almost five times smaller
then the ones obtained with the Dirac theory. The implications of the theory
considering the strong interactions are also discussed.
