The Dynamical CasimirPolder Force in Relativistic Atomic
Motion near the Surface of a Thick Plate

G. V. Dedkov* and A. A. Kyasov

Kabardino–Balkarian State University, ul. Chernyshevskogo 175, Nalchik, 360004 Russia

*e-mail: gv_dedkov@mail.ru

Received October 4, 2011

Abstract—The dynamical Casimir–Polder force between a neutral atom (in the ground state) and a thick plate
in relativistic motion of the atom in the direction parallel to the surface has been calculated. The material prop-
erties have been considered in the framework of the oscillator model of the atom and the Drude dielectric func-
tion for a plate. The limiting cases of the nonrelativistic velocity and perfectly conducting material of the plate
have been discussed. A complex dependence of the force on the velocity (energy), the distance, and the material
properties of the surface has been found.

DOI: 10.1134/S1063783412040051

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