Nonlinear sequence transformations in the diatomic molecular spectra calculations

摘要

Abstract: The two modern conceptions of the perturbation theory and the series theory have been applied to the analysis of diatomic molecular spectra. The first is linked with ordering of the perturbations according to the limiting grouping of vibrational-rotational interactions. The second is linked with summation of series on the base of nonlinear sequence transformations. The results for vibrational and rotational dependencies of effective dipole moments for diatomic molecules have been presented for the first time in nonpolynomial forms.!12