Hossein Raanaei

In this research, we determine the interaction potential between two non-polar molecules in the present of a conducting wall. By assuming that the vacuum electric field fluctuation can convert a neutral polarizable particle into an oscillating electric dipole, the interaction potential between two non-polar molecules in the presence of a conductive wall is calculated in terms of the molecular Polarizabilities. we first Consider the electric field at the position of the one molecule, as the summation of the vacuum state electric field and the electric field due to the induced electric dipole attributed to the other molecule. Then, by placing it in the quadratic stark effect formula, we relate the interaction potential to the vacuum electric field correlation function. By using the fluctuation-dissipation theorem and Kubo’s formula in statistical mechanics, the interaction potential is written in terms of the imaginary parts of vector potential Green function tensor and then by calculating the required Green function components (when there is a conductive wall), we determine the interaction potential in two case separately: first, by considering the line between two molecules perpendicular to the wall and second the line parallel to the wall. We also investigate the small and large distances limits of the general formula