Effects of Gravitational Waves on Two-Level Atom Moving in a Quantized Traveling Light Field: Exact Solution via Path Integral By Hilal Benkhelil
We adopt a coherent states path integral formalism to study the system of a two-level atom moving in a quantized traveling light field and a gravitational field. By using the phase space and some rotations in the space of coherent states, have enabled greatly simplify the calculations. The propagator is first written in a standard form, ∫Dpathexpi/ℏSpath, by replacing the spin with a unit vector aligned along the polar and azimuthal directions. Then, it is determined exactly due to the auxiliary equation which has a spacial function as a solution. The corresponding wave functions have been deduced by applying the principles of quantum mechanics. The results obtained are perfectly identical with those found by other standard methods.
Part of the book: Gravitational Waves