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Journal of Atomic and Molecular Physics

Investigation of the properties of rydberg states for alkali metal atoms in static electric field by B-spline functions

Zhou Xiaoxin, Xiaoyong Li

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

Based on a model potential of alkali metal atoms,the positions of anticrossing of Stark levels of K and Cs atoms and absorbed spectra of multi-photon resonance for Rydberg states of K atoms have been calculated by using B-spline functions.It shows that our results are in good agreement with experimental measurements and other theoretical results.

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Communications in Theoretical Physics•Aug 1, 2009•4 citations
Based on a model potential of alkali metal atoms,the positions of anticrossing of Stark levels of K and Cs atoms and absorbed spectra of multi-photon resonance for Rydberg states of K atoms have been calculated by using B-spline functions.It shows that our results are in good agreement with experimental measurements and other theoretical results.
With a potential model of alkali-metal atoms and B-spline expansion technique,the structure of the energy levels for Rydberg states of Rubidium is investigated.We calculated the positions and widths of anticrossing between(n+3)s and (n,k) Stark states with principal quantum number n between 16 and 25.Our results are in agreement with the experimental data.And we obtained two empirical formulas which can be used to estimate the positions of anticrossing for high Rydberg states of Rubidium in static electric field.
The B-spline expansion technique and the method of model potential of atom have been applied to study the properties of Stark states of lithium. Our results for Stark maps, oscillator strength distributions, avoided crossing positions and widths for Li are in good agreement with other reported theoretical calculations and experimental measurement. It shows that the method we used can be applied to investigate the properties of alkali-metal atoms in external static electric field. Finally, for the first time, we obtained the evolution of the oscillator strength spectrum of Li with varying static electric field.
Numerical calculations of the positions and widths for anticrossings in Rydberg Stark states are scarce, largely due to the results' sensitive dependence on the wavefunctions chosen. With wavefunctions derived from a kind of potential model as a basis, we calculate the positions and sizes for the anticrossings of potassium Rydberg states in a static electric field by means of diagonalization, and show that the results are in good agreement with available experimental data. The results show that this potential model can be used to deal with the problem of anticrossings, and the accuracy of the potential model is sensitively and numerically tested in the situation of external fields for the first time.
With wavefunctions from a kind of atomic potential model including the fine-structure (FS) interaction as a basis, we calculate the positions and widths of anticrossings due to the FS interaction for the case of K Rydberg states in a static electrical field by using the diagonalization method. The results are in good agreement with experimental data; and we confirm that the influence of the FS interaction is very small on anticrossing brought about by core interaction. The accuracy of the potential model wavefunction including the FS interaction is sensitively and numerically tested in the situation of external fields.
By combining the B-spline basis set with model potential (B-spline + MP), we present oscillator strength spectra of Rydberg Li atoms in external fields. The photoabsorption spectra are analyzed. Over the narrow energy ranges considered in this paper, the structure of the spectra can be independent of the initial state chosen for a given atom. Our results are in good agreement with previous high-precision experimental data and theoretical calculations, where the R-matrix approach together with multichannel quantum defect theory (R-matrix+MQDT) was used. It is suggested that the present methods can be applied to deal with the oscillator strength spectra of Rydberg atoms in crossed electric and magnetic fields.