Spectroscopic effects of velocity-dependent Casimir-Polder interactions induced by parallel plates

Casimir-Polder Interaction in the Presence of Parallel Walls

In 1948, Casimir and Polder [1] taking into account a suggestion made by experimentalists evaluated the interaction potential between two eletrical polarizable molecules separated by a distance r including the effects due to the finiteness of the speed of propagation of the electromagnetic interaction, i.e.: of the retardment. Casimir and Polder showed that the retardment causes the interaction...

The Casimir Effect between Non-parallel Plates by Geometric Optics

Recent work by Jaffe and Scardicchio has expressed the optical approximation to the Casimir effect as a sum over geometric quantities. The first two authors have developed a technique which uses the complex geometry of the space of oriented affine lines in R to describe reflection of rays off a surface. This allows the quantities in the optical approximation to the Casimir effect to be calculat...

Microscopic Origin of Casimir-Polder Forces

Abstract. We establish a general relation between dispersion forces. First, based on QED in causal media, leading-order perturbation theory is used to express both the single-atom CasimirPolder and the two-atom van der Waals potentials in terms of the atomic polarizabilities and the Green tensor for the body-assisted electromagnetic field. Endowed with this geometryindependent framework, we the...

Measurement of the Casimir-Polder force.

Scalar Casimir-Polder forces for uniaxial corrugations

We investigate the Dirichlet-scalar equivalent of Casimir-Polder forces between an atom and a surface with arbitrary uniaxial corrugations. The complexity of the problem can be reduced to a one-dimensional Green’s function equation along the corrugation which can be solved numerically. Our technique is fully nonperturbative in the height profile of the corrugation. We present explicit results f...