nt - p h / 06 04 03 4 v 1 5 A pr 2 00 6 A master equation approach for the interaction of an atom with a dielectric semi - infinite medium
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چکیده
We use the master equation approach to calculate the energy level shifts of an atom in the presence of a general dielectric semi-infinite medium characterized by a dielectric constant ǫ(ω). Particularly, we analyze the case of a non-dispersive medium for which we obtain a general expression for the interaction as well as the asymptotic behaviors for k0z ≪ 1 (non-retarded regime) and k0z ≫ 1 (retarded regime), where ω0 = k0c is the main transition frequency of the atom. The limiting cases ǫ ≃ 1 and ǫ ≫ 1 are discussed for both retarded and non-retarded limits. For the retarded limit, we compute the non-additivity contribution of van der Waals forces.
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