Semi-classical quantum theory of long-range interactions induced electronic state transition

Based on semi-classical quantum mechanical theory, the collision-induced transition of electronic states under long-range interactions is studied, Using first order electrostatic interaction Hamiltonian especially of linear molecules, the matrix elements expression of collision-induced electronic transition is derived. The selection rule of the electronic and molecular rotation is derived respect to resonant and quasi-resonant energy transfer. Finally the formula is applied to the calculation of the E-08(+) and D-0u(-) ion-pair state in the collision-induced E region of iodine.