Perturbation theory for intensity of static lines of hydrogen atom

Perturbation theory for wave function of a hydrogen-like atom in a uniform electric field of intensity F permits obtaining the Rayleigh-Schroedinger series, its coefficients at FN (N = 0, 1, 2, ...) are linear combinations of the Sturm function, which is a non-disturbed state, with 8N2 functions of the relevant complete set with indices adjacent to parabolic quantum number of the initial level. The method of recursive analytical calculation of linear combination coefficients in a random order N was developed. General expressions for corrections for matrix elements and intensities of radiation transitions between the Stark sublevels were derived. Analytical formulas and numerical values of the corrections up to the fourth order inclusively for the Lyman and Balmer series are provided. Comparison is made with the data known in literature for transitions between the Stark components of the Rydberg states