Radiative widths of Stark components of fine-structure levels of a hydrogen atom. [transition probabilities, electric field strength]

B. A. Zon, Boris G. Katsnelson, Yu. N. Mitin, E. I. Sholokhov

Published Apr 1, 1976• 0 citations

Abstract

The probabilities of electromagnetic decay of fine-structure states of a hydrogen atom are calculated as a function of the strength of an external constant electric field. (AIP)

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Radiative widths of Stark components of fine-structure levels of a hydrogen atom

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Radiative widths of Stark components of fine-structure levels of a hydrogen atom. [transition probabilities, electric field strength]

B. A. Zon, Boris G. Katsnelson, Yu. N. Mitin, E. I. Sholokhov

Published Apr 1, 1976• 0 citations

OpenAlex

Abstract

The probabilities of electromagnetic decay of fine-structure states of a hydrogen atom are calculated as a function of the strength of an external constant electric field. (AIP)

Related papers

Radiative widths of Stark components of fine-structure levels of a hydrogen atom

B. A. Zon, Boris G. Katsnelson, Yu. N. Mitin +1 more

OptSpApr 1, 19760 citations

Stark broadening and satellite structure of hydrogen spectral lines in the presence of constant and microwave electric fields

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Journal of Physics B Atomic Molecular and Optical PhysicsApr 28, 19911 citation

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A. A. Kamenskii, V. D. Ovsyannikov

The wavefunctions, matrix elements, and probabilities of radiative transitions between Stark sub-levels of atomic multiplets are calculated as a function of the strength of a dc electric field. The general expressions for the wavefunction of a multiplet state in a field obtained by perturbation theory for close-lying levels with the use of completely reduced Green’s function allow one to determine the field dependence of both the dipole-allowed and dipole-forbidden radiation amplitudes. A decomposition of the second-order amplitude for the transition between fine-structure sublevels of two levels of equal parity into irreducible components is obtained. Numerical calculations of the probabilities of radiative transitions between triplet states of helium show the possibility of experimental observation of the emergence and vanishing of Stark lines of radiative transitions in the vicinity of anticrossing fields.The wavefunctions, matrix elements, and probabilities of radiative transitions between Stark sub-levels of atomic multiplets are calculated as a function of the strength of a dc electric field. The general expressions for the wavefunction of a multiplet state in a field obtained by perturbation theory for close-lying levels with the use of completely reduced Green’s function allow one to determine the field dependence of both the dipole-allowed and dipole-forbidden radiation amplitudes. A decomposition of the second-order amplitude for the transition between fine-structure sublevels of two levels of equal parity into irreducible components is obtained. Numerical calculations of the probabilities of radiative transitions between triplet states of helium show the possibility of experimental observation of the emergence and vanishing of Stark lines of radiative transitions in the vicinity of anticrossing fields.

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The Stark effect of the fine structure of hydrogenic atoms is discussed in the light of the quantum mechanics. Explicit formulas are given for the energy levels in either a weak or a strong electric field, including in each case both the relativity corrections and the Stark effect. (The conventional treatment neglects either one or the other.) The results are, except in form, similar to those recently given by Schlapp. In the new mechanics, in contradistinction to the old Bohr theory, there is a linear Stark effect even in weak fields, because of the identity of energy for the $\mathrm{ns}$ and $n{p}_{1}$ levels in the absence of external fields. This degeneracy is shown to account for the results of the recent experiments of Ornstein, Zernike, and Snoek, who found that the $2s$ level in $H$ is not metastable.The coefficients are found for the development of the "parabolic" eigenfunctions in terms of the "polar" ones, and a set of numerical values of these coefficients is tabulated.Methods are given for the calculation of the relative intensities in the Stark effect in terms of the already available theoretical fine structure intensities in the absence of fields.The Stark effect of the fine structure of hydrogenic atoms is discussed in the light of the quantum mechanics. Explicit formulas are given for the energy levels in either a weak or a strong electric field, including in each case both the relativity corrections and the Stark effect. (The conventional treatment neglects either one or the other.) The results are, except in form, similar to those recently given by Schlapp. In the new mechanics, in contradistinction to the old Bohr theory, there is a linear Stark effect even in weak fields, because of the identity of energy for the $\mathrm{ns}$ and $n{p}_{1}$ levels in the absence of external fields. This degeneracy is shown to account for the results of the recent experiments of Ornstein, Zernike, and Snoek, who found that the $2s$ level in $H$ is not metastable.The coefficients are found for the development of the "parabolic" eigenfunctions in terms of the "polar" ones, and a set of numerical values of these coefficients is tabulated.Methods are given for the calculation of the relative intensities in the Stark effect in terms of the already available theoretical fine structure intensities in the absence of fields.

Physical ReviewJan 1, 192943 citations

The radiative transition probabilities in hydrogen have been calculated for all Stark transitions through

n=25

. In general, the total transition probability and lifetime of a particular state are a function of the parabolic quantum numbers

{n}_{1}

{n}_{2}

, and

m

. For

m>0

and to within an error of the order of one percent the radiative lifetimes are functions only of

n

m

. The radiative lifetimes are presented graphically for all states from

n=2

through

n=25

\mathrm{ns}

and

n{p}_{1}

levels in the absence of external fields. This degeneracy is shown to account for the results of the recent experiments of Ornstein, Zernike, and Snoek, who found that the

2s

level in

H

is not metastable.The coefficients are found for the development of the "parabolic" eigenfunctions in terms of the "polar" ones, and a set of numerical values of these coefficients is tabulated.Methods are given for the calculation of the relative intensities in the Stark effect in terms of the already available theoretical fine structure intensities in the absence of fields.