Electric-field-induced redistribution of radiation transition probabilities in atomic multiplet lines

Abstract

Analytical dependences on a static electric field F 0 are derived for the wavefunctions, matrix elements and probabilities of radiation transitions between multiplet substates interacting in field in pairs, ranging from ordinary doublet states with spin S = 1/2, pairwise interacting sublevels of triplet and quintet states with the magnetic quantum number M = 0, to the most general case of states with arbitrary angular L and spin S momenta and maximal magnitude of the magnetic quantum number |M| = L + S − 1. Equalization of doublet line intensities in the anticrossing field region and vanishing of one of the two doublet lines in the high-field regime are demonstrated. A general relation is determined between the anticrossing field F A , multiplet splitting and tensor polarizability. The data of numerical computations with the Fues' model potential for polarizabilities of triplet states in helium and doublet states in alkali atoms are extrapolated with a three-term polynomial including 5th, 6th and 7th powers of effective principal quantum number and providing accuracy better than 0.5% in a wide range of the principal quantum number n, up to n = 1000.

Blackbody-Radiation-Induced Decay and Excitation οf Rydberg States in Sodium

“…(1) are determined by the matrix elements of the dipole transitions from the Rydberg level |nl to the lower (decay) and upper (excitation) bound states |n l ± 1 . In this paper, the wave functions of states are determined analytically on the basis of the Fues' model potential with some modification of parameters for S-states [9][10][11]. The model describes a valence electron in a field of atomic nucleus and electrons of the closed shells (so called core electrons).…”

“…where ν nl = n r + λ + 1, n r determines the number of the radial wave-function nodes (for the lowest state of a valence electron in P -, and D-series n r = 0; for the lowest level in S-series n r = 1 [11]). The corresponding eigenfunction is…”

Excitations and Decays of Rubidium Rydberg States Induced by Blackbody Radiation

“…The Fues model potential wave functions (4) not only provide a good representation of the Rydberg states [7], but also result in an analytical form of matrix element (3):…”

Measurement of the5D-level polarizability in laser-cooled Rb atoms

“…Two approaches were implemented to calculate the polarizabilities of the 5D level in Rb: the method I: Calculated values of the scalar αS and tensor αT polarizabilities of the 5D 3/2 and 5D 5/2 fine structure levels in Rb atoms according to [20,21]. The values are given in atomic units a 3 0 , where a0 is the Bohr radius.…”

“…of model potential [19,20] and the regular second order perturbation theory with direct summation of matrix elements and integration over the continuous spectrum [21].…”