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IntechOpen eBooks

Effects of gravitational waves on two-level atom moving in a quantized traveling light field: exact solution via path integral

Hilal Benkhelil

Published Jan 10, 2024• 1 citation
Publisher

Abstract

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.

DOI
10.5772/intechopen.1001047

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