Dynamic Polarizability Functions of the Hydrogen Molecule

An analytical method to describe tensor components of the dynamic electronic polarizability αii(R,ω) of diatomic molecules as a function of internuclear distance R and the frequency ω of external electromagnetic field is proposed. The method is based on calculations of upper and lower bounds for αii(R,ω). The bounds are calculated using the known functions of static polarizability αii(R,0) of a molecule, the limited number of energy levels Em(R) of its excited electronic states, and the electric dipole transition moments (di)0m(R). The method has been applied to calculate the dynamic electronic polarizability of H2 molecule over wide ranges of R and ω values.