Lennard – Jones Coefficient C3 and Long – Range Retarded Potentialfor H,Alkali Atoms - Perfectly Conducting Surface Interaction

Abstract

The present work includes the theoretical study of the Lennard – Jones coefficient C3 for single valence electron atomic systems (H and Alkali atoms, in ground and first excited energy S-state) which are interacting with a perfectly conducting surface (i.e . ∈ ∞) . Our calculations depend upon the dynamic dipole polarizability formula α2(iw), whish is given directly in terms of an effective transition frequencies wi and effective oscillator strengths fi . We calculated the retardation coefficient ƒ3(R) for these interactions to knowledge the retardation effect at a large separation distances R . Finally , we study the behavior of the long – range attractive potential VAtM(R) for the interacting systems over a wide range of separation distances R . Our results are compared with those reported by other researchers concerning this study in the ground state interactions