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Chinese Physics Letters

Calculation of the Energy Spectra of Atom Rb in Strong Magnetic Fields

Lianjun Liu, Zhehua Zhang, Dao-Neng Gao, Yaohui Cao, Xinghong He, Baiwen Li

Published Jul 1, 1993• 0 citations
Publisher

Abstract

The energy spectra and oscillator strength of atom Rb in strong magnetic fields are calculated. The wavefunctions obtained by an improved potential model proposed by some of us are chosen as the zero-order ones. The results show that the diamagnetic term seems to affect substantially only high Rydberg states. And there is a maximum of oscillator strength in each n-manifold, which varies with n increased.

DOI
10.1088/0256-307x/10/7/006

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The energy spectra and oscillator strength of atom Rb in strong magnetic fields are calculated. The wavefunctions obtained by an improved potential model proposed by some of us are chosen as the zero-order ones. The results show that the diamagnetic term seems to affect substantially only high Rydberg states. And there is a maximum of oscillator strength in each n-manifold, which varies with n increased.
We present oscillator strength spectra of Rydberg lithium atoms in parallel electric and magnetic fields obtained via the B-spline basis set method combined with model potential. Both the radial and angular wavefunctions are expanded in terms of B-spline functions. The results are in good agreement with previous high-precision experiments. By analyzing the components of partial-wave, we give an explanation to the oscillator strength of part of the spectrum. The method of this paper is simple and effective. It is suggested that the present method can be applied to deal with the problem of Rydberg atom in crossed magnetic and electric field.
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.
A perturbation method is used to evaluate the energy levels and oscillator strengths of sodium atoms (m=-2,π2=+)in a strong magnetic field. The main features of the calculated spectra which lie in the strong-field-mixing regime agree well with the corresponding experimental results. Besides the conventional quasi-Landau resonance with spacing equal to 1.5?ωc (ωc is the electron cyclotron frequency) near the zero field ionization limit, a series of resonance spacings are found and analysed using the zero order energy formula and the Fourier transform technique. The values of these spacings are in consistent with other theoretical results. Based on the perturbation method, a quantum mechanical explanation for the spacings is given. These resonance spacings are independent of the applied exernal magnetic field.
For pt.I see ibid., vol.17, p.29-52 (1984). Wavelengths, dipole strengths, oscillator strengths and transition probabilities for electromagnetic transitions between low-lying states of the hydrogen atom embedded in a magnetic field of arbitrary strength (0<B<or=4.70*10 8 T) are calculated with high numerical accuracy for a sufficiently dense mesh of B values using the wavefunctions and energy values determined in paper I by expanding the wavefunctions in terms of spherical harmonics (weak and moderate fields), or in terms of Landau states (strong and very strong fields). Effects caused by the finiteness of the proton mass are taken into account, and the scaling laws are quoted by the aid of which the results presented can be utilised to cover quantitatively the whole hydrogenic sequence in intense magnetic fields; finally, the quality of the results of previous calculations is checked.
I have calculated the energy spectrum of a highly excited atom which lies in parallel, static electric and magnetic fields. In parallel fields the Coulomb quantum numbers n and m are still "good" quantum numbers but 1 is not: the calculation is for n = 30, m = 1 atoms.;The eigenvalues were obtained by semi-classical quantisation of first-order classical perturbation theory and have been calculated for a large range of electric and magnetic field strengths. The results are in good agreement with those found from first-order degenerate quantum perturbation theory.;The semi-classical analysis provides a correlation diagram connecting the Stark effect states to those of the diamagnetic effect.