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Particles and Fields

Eur. Phys. J. C 25, 333-338 (2002)
DOI: 10.1007/s10052-002-0984-0

Rabi oscillations in gravitational fields: Exact solution via path integral

M. Aouachria and L. Chetouani

Département de Physique, Faculté des Sciences, Université Mentouri, 25000 Constantine, Algeria

(Received: 15 March 2002 / Revised version: 15 April 2002 / Published online: 12 July 2002 )

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 $\int {\cal D}
({\mathrm {path}})\exp
({\mathrm i} / {\hbar})S({\mathrm {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.

© Società Italiana di Fisica, Springer-Verlag 2002