skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: On the Energy of a “One-Dimensional” Two-Electron Atom

Abstract

Based on the perturbation theory and variational method long known for a “three-dimensional” atom, the ground and first excited state energies are calculated for a “one-dimensional” two-electron atom in the “one-dimensional ortho-helium” configuration, which can be obtained experimentally in principle, as has been already done for a Na Bose condensate, or produced in a super strong magnetic field B ≫ (2α){sup 2}B{sub 0} (B{sub 0} = m{sup 2}c{sup 3}/eħ ≈ 4.41 × 10{sup 13} G). The “screening constant” σ for this atom in the ground and excited states was about 0.20 and 0.17, 0.18, respectively, depending on the relative parity PP' of the electronic states, which is somewhat smaller than in “two-dimensional” and “three-dimensional” variants (in these cases, this constant in the ground state is almost the same and about 0.3). The frequencies of the main spectral lines of a “onedimensional” He atom representing a doublet split over the relative parity PP' are found. The presence of the close lines of this doublet in the emission spectrum of magnetars at frequencies ω{sub 1,2} ≈ {1.15; 1.17}α{sup 2}(c/λC) (α = e{sup 2}/ħc, λ{sub C} =ħ/mc) corresponding to the “one-dimensional ortho-helium” would suggest the existence of a superstrong magnetic field in suchmore » astrophysical objects.« less

Authors:
 [1]
  1. Moscow Polytechnic University (Russian Federation)
Publication Date:
OSTI Identifier:
22749982
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 126; Journal Issue: 3; Other Information: Copyright (c) 2018 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; EMISSION SPECTRA; EXCITED STATES; GROUND STATES; MAGNETIC FIELDS; NEUTRON STARS; ONE-DIMENSIONAL CALCULATIONS; PERTURBATION THEORY; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; VARIATIONAL METHODS

Citation Formats

Skobelev, V. V., E-mail: v.skobelev@inbox.ru. On the Energy of a “One-Dimensional” Two-Electron Atom. United States: N. p., 2018. Web. doi:10.1134/S1063776118030081.
Skobelev, V. V., E-mail: v.skobelev@inbox.ru. On the Energy of a “One-Dimensional” Two-Electron Atom. United States. doi:10.1134/S1063776118030081.
Skobelev, V. V., E-mail: v.skobelev@inbox.ru. Thu . "On the Energy of a “One-Dimensional” Two-Electron Atom". United States. doi:10.1134/S1063776118030081.
@article{osti_22749982,
title = {On the Energy of a “One-Dimensional” Two-Electron Atom},
author = {Skobelev, V. V., E-mail: v.skobelev@inbox.ru},
abstractNote = {Based on the perturbation theory and variational method long known for a “three-dimensional” atom, the ground and first excited state energies are calculated for a “one-dimensional” two-electron atom in the “one-dimensional ortho-helium” configuration, which can be obtained experimentally in principle, as has been already done for a Na Bose condensate, or produced in a super strong magnetic field B ≫ (2α){sup 2}B{sub 0} (B{sub 0} = m{sup 2}c{sup 3}/eħ ≈ 4.41 × 10{sup 13} G). The “screening constant” σ for this atom in the ground and excited states was about 0.20 and 0.17, 0.18, respectively, depending on the relative parity PP' of the electronic states, which is somewhat smaller than in “two-dimensional” and “three-dimensional” variants (in these cases, this constant in the ground state is almost the same and about 0.3). The frequencies of the main spectral lines of a “onedimensional” He atom representing a doublet split over the relative parity PP' are found. The presence of the close lines of this doublet in the emission spectrum of magnetars at frequencies ω{sub 1,2} ≈ {1.15; 1.17}α{sup 2}(c/λC) (α = e{sup 2}/ħc, λ{sub C} =ħ/mc) corresponding to the “one-dimensional ortho-helium” would suggest the existence of a superstrong magnetic field in such astrophysical objects.},
doi = {10.1134/S1063776118030081},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 3,
volume = 126,
place = {United States},
year = {2018},
month = {3}
}