Rabi oscillations in gravitational fields: Exact solution via path integral

The movement of a two-level atom interacting with an electromagnetic wave and subject to gravitation is studied using the path-integral formalism. The propagator is first of all written in the standard form ∫D(path) exp(i/ℎ)S(path) by replacing the spin by two fermionic oscillators; then it is determined exactly due to the auxiliary equation which has a cylindric parabolic function as a solution. (orig.)