Form-factor representation and multipole expansion of the retarded interatomic dispersion energy
نویسنده
چکیده
Dispersion-relation methods are used to derive a form-factor representation for the retarded dispersion energy of two hydrogen atoms that are described by relativistic electron theory. By expressing the electromagnetic form factors in terms of atomic transition matrix elements the complete multipole expansion of the interatomic dispersion energy is obtained. The long-range asymptotic limit of the successive multipole interactions is given explicitly.
منابع مشابه
Multipole Expansion of the Retarded Interatomic Potential Energy v. Derivation with the Use of a Dispersion Relation
A dispersion relation technique is used to obtain the retarded dispersion energy of two neutral atoms in nondegenerate ground states. To that end multipole expansions are derived for the electromagnetic form factors occurring in the vertex function that characterizes the interaction of a neutral atom with a pair of photons on the mass shell. The long-range asymptotic expression for the dispersi...
متن کاملMultipole Expansion of the Retarded Interatomic Dispersion Energy Iii. the Long and Short Range Behaviour
The long-range asymptotic expression for the multipole expansion of the retarded interatomic dispersion energy is shown to consist of contributions from electric dipole-dipole, dipolequadrupole and quadrupole-quadrupole interactions, all varying as the inverse seventh power of the interatomic separation. The general expressions for these interactions lead to short-range series expansions which ...
متن کاملMULTlPOLE EXPANSION OF THE RETARDED INTERATOMIC POTENTIAL ENERGY VI. DISPERSION AND INDUCTION ENERGY FOR RFLATIVISTIC HYDROGEN ATOMS
The inductive and dispersive retarded interactionenergies of two ground-state hydrogen atoms described by Dirac theory are derived up to all multipole orders. The results are obtained by evaluation of Feynman diagrams and with the help of dispersion-relation methods. The nonrelativistic and semi-relativistic approximations of the interaction energy are given in a form that shows explicitly the ...
متن کاملMultipole Expansion of the Retarded Interatomic Potential Energy Iv. Induction Energy for Degenerate Ground-state Atoms
Synopsis The inductive contribution to the retarded interatomic potential energy of two atoms in degenerate ground states is calculated up to all multipole orders on the basis of quantum electrodynamics. The result, which is found to have nonretarded character, is written in such a way as to show the induction effects brought about in each of the atoms by the electrostatic and magnetostatic fie...
متن کاملA Comparative Study of Multipole and Empirical Relations Methods for Effective Index and Dispersion Calculations of Silica-Based Photonic Crystal Fibers
In this paper, we present a solid-core Silica-based photonic crystal fiber (PCF) composed of hexagonal lattice of air-holes and calculate the effective index and chromatic dispersion of PCF for different physical parameters using the empirical relations method (ERM). These results are compared with the data obtained from the conventional multipole method (MPM). Our simulation results reveal tha...
متن کامل