Testing of QED theory on the Rydberg series for the He-like multicharged ions

2002 ◽  
Vol 80 (11) ◽  
pp. 1255-1261 ◽  
Author(s):  
V G Pal'chikov ◽  
I Yu. Skobelev ◽  
A Ya. Faenov
Keyword(s):  
Quantum Electrodynamic ◽  
Ground State ◽  
Energy Levels ◽  
Rydberg States ◽  
Expansion Method ◽  
Isoelectronic Sequence ◽  
Rydberg Series ◽  
Ionization Energies ◽  
Relativistic Corrections ◽  
Bound Electrons

The paper examines the 1/Z expansion method in calculating the energy levels, ionization energies, and wavelengths of the resonant Rydberg states 1snp 1P1 for atoms belonging to the helium isoelectronic sequence. The interactions of the bound electrons are treated as a perturbation that results in the electron–electron Breit interaction, relativistic corrections, and quantum electrodynamic (QED) contributions. By comparing the calculated wavelengths with a number of observed wavelengths, the QED contributions to the ground state are analyzed. PACS Nos.: 31.20Di, 31.20Tz, 31.30Jv, 31.50+W

The electronic spectrum of F2

1976 ◽  
Vol 54 (13) ◽  
pp. 1343-1359 ◽  
Author(s):  
E. A. Colbourn ◽  
M. Dagenais ◽  
A. E. Douglas ◽  
J. W. Raymonda
Keyword(s):  
Absorption Spectrum ◽  
Ground State ◽  
Band System ◽  
Rydberg States ◽  
Rotational Analysis ◽  
Interaction Energies ◽  
Rydberg Series ◽  
Rotational Constants ◽  
Vibrational Levels ◽  
Ionic States

The absorption spectrum of F2 in the 780–1020 Å range has been photographed at sufficient resolution to allow a rotational analysis of many bands. A large number of vibrational levels of three ionic states have been observed and their rotational constants determined. Many perturbations in the rotational structure caused by the interaction between the three states have been investigated and the interaction energies determined. The rotational and vibrational structures of a few Rydberg states have also been analyzed in detail but no Rydberg series have been identified. The difficulties in assigning the observed states are discussed. A 1Σu+ – X1Σg+ emission band system has been observed in the 1100 Å region. An analysis of the bands of this system has allowed us to determine the term values and rotational constants of all the vibrational levels of the ground state with ν ≤ 22. The dissociation energy, D0(F2), is found to be greater than 12 830 and is estimated to be 12 920 ± 50 cm−1.

Photoionization of Al X from ground state using the relativistic R-matrix close-coupling method

2014 ◽  
Vol 92 (3) ◽  
pp. 241-245 ◽  
Author(s):  
Liang Liang ◽  
Xu-yang Liu ◽  
Chao Zhou
Keyword(s):  
Cross Sections ◽  
Ground State ◽  
Energy Levels ◽  
Resonance Energy ◽  
Photoionization Cross Section ◽  
Rydberg Series ◽  
Close Coupling ◽  
R Matrix ◽  
Target States ◽  
Distorted Wave Method

The relativistic R-matrix method is used to calculate the total photoionization cross sections from the ground state 1s22s2 1S0 of Al X for photon energies ranges from the first ionization threshold to just above the eighth threshold of the residual ion Al XI. In this work, the relativistic distorted-wave method is employed to calculate the fine-structure energy levels and radial functions. The lowest eight level target states of Al XI are used in the photoionization calculations of Al X and should provide a reasonably complete database for practical application for photoionization cross section for Al X. The resonance energy levels and widths of 18 Rydberg series have been investigated.

Relativistic and QED corrections for the ground state lithiumlike ionization energies

2021 ◽  
Author(s):  
William P. Earwood ◽  
Steven R Davis
Keyword(s):  
Ground State ◽  
Leading Order ◽  
Direct Computation ◽  
Ionization Energies ◽  
Relativistic Corrections ◽  
Level Shifts

Abstract The ground state ionization energies of Z ≤ 10 lithiumlike ions are calculated using fully correlated Gaussian wavefunctions. Leading-order relativistic corrections are evaluated, while QED corrections are established with small uncertainties by directly calculating the Araki-Sucher energy and expanding the three-electron Bethe logarithm in 1/Z. The non-relativistic α6 level shifts have also been calculated, and we have used these energies to recommend ionization energies, which include estimates of the influence of the relativistic portion of the α6 energy. The results emphasize the importance of the direct computation of the complete α6 correction, but also the need for new, higher accuracy experimental ionization limits.

scholarly journals Fast Vacuum Fluctuations and the Emergence of Quantum Mechanics

2021 ◽  
Vol 51 (3) ◽  
Author(s):  
Gerard ’t Hooft
Keyword(s):  
Quantum Mechanics ◽  
Ground State ◽  
Quantum Interference ◽  
Direct Detection ◽  
Energy Levels ◽  
Vacuum Fluctuations ◽  
Heavy Particles ◽  
Evolving Systems ◽  
Gedanken Experiment ◽  
Classical Computer

AbstractFast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically (ontologically) evolving systems one can still define a conserved quantum energy. For the fast variables, the energy levels are far separated, such that one may assume these variables to stay in their ground state. This forces them to be entangled, so that, consequently, the slow variables are entangled as well. The fast variables could be the vacuum fluctuations caused by unknown super heavy particles. The emerging quantum effects in the light particles are expressed by a Hamiltonian that can have almost any form. The entire system is ontological, and yet allows one to generate interference effects in computer models. This seemed to lead to an inexplicable paradox, which is now resolved: exactly what happens in our models if we run a quantum interference experiment in a classical computer is explained. The restriction that very fast variables stay predominantly in their ground state appears to be due to smearing of the physical states in the time direction, preventing their direct detection. Discussions are added of the emergence of quantum mechanics, and the ontology of an EPR/Bell Gedanken experiment.

Two-photon resonant ionization spectroscopy of the allyl-h5 and allyl-d5 radicals:  Rydberg states and ionization energies

2002 ◽  
Vol 116 (10) ◽  
pp. 4162-4169 ◽  
Author(s):  
Chi-Wei Liang ◽  
Chun-Cing Chen ◽  
Chia-Yin Wei ◽  
Yit-Tsong Chen
Keyword(s):  
Rydberg States ◽  
Ionization Energies ◽  
Two Photon ◽  
Resonant Ionization

scholarly journals FOUR-PARTICLE ANYON EXCITON: BOSON APPROXIMATION

1995 ◽  
Vol 09 (02) ◽  
pp. 123-133 ◽  
Author(s):  
M. E. Portnoi ◽  
E. I. Rashba
Keyword(s):  
Angular Momentum ◽  
Electron Density ◽  
Ground State ◽  
Hypergeometric Functions ◽  
Energy Levels ◽  
Confluent Hypergeometric Functions ◽  
Full Symmetry ◽  
Hole Confinement ◽  
Boson Approximation

A theory of anyon excitons consisting of a valence hole and three quasielectrons with electric charges –e/3 is presented. A full symmetry classification of the k = 0 states is given, where k is the exciton momentum. The energy levels of these states are expressed by quadratures of confluent hypergeometric functions. It is shown that the angular momentum L of the exciton ground state depends on the distance between the electron and hole confinement planes and takes the values L = 3n, where n is an integer. With increasing k the electron density shows a spectacular splitting on bundles. At first a single anyon splits off of the two-anyon core, and finally all anyons become separated.

scholarly journals X-ray laser lines in nickel-like erbium

2016 ◽  
Vol 94 (8) ◽  
pp. 705-711
Author(s):  
Wessameldin S. Abdelaziz
Keyword(s):  
Ionization Potential ◽  
Excited States ◽  
Ground State ◽  
Energy Levels ◽  
Single Electron ◽  
Electron Densities ◽  
X Ray ◽  
Electron Excited States

Energy levels of 249 excited levels in nickel-like erbium are calculated using the 3s23p63d10 as a ground state and the single electron excited states from n = 3 to n = 4, 5 orbitals, calculations have been performed using FAC code (Gu. Astrophys. J. 582, 1241 (2003). doi:10.1086/344745 ). The populations are calculated over electron densities from 1020 to 1023 cm−3 and electron temperatures 1/2, 3/4 of the ionization potential of Ni-like Er. The gain coefficients of the transitions are calculated.

scholarly journals High Resolution Photoionization Spectrum of HBr Measured With Frequency Tripled Laser Radiation

1987 ◽  
Vol 7 (2-4) ◽  
pp. 129-139 ◽  
Author(s):  
Toshiaki Munakata ◽  
Tadahiko Mizukuki ◽  
Akira Misu ◽  
Motowo Tsukakoshi ◽  
Takahiro Kasuya
Keyword(s):  
Laser Radiation ◽  
High Resolution ◽  
Ultraviolet Radiation ◽  
Ground State ◽  
Vacuum Ultraviolet ◽  
Second Harmonic ◽  
Rydberg Series ◽  
Vacuum Ultraviolet Radiation ◽  
Ionization Limit ◽  
Photoionization Spectrum

The photoionization spectrum of HBr around the first ionization limit was measured at resolution of up to 5 x 10−4 nm. The ionizing vacuum ultraviolet radiation was generated by frequency tripling of the second harmonic output of a dye laser. Three sets of Rydberg series, each converging to the ground state (2Π3/2) of HBr+, were observed on the longer wavelength side of the ionization limit. By extrapolation of the Rydberg series, the ionization potential of HBr was determined to be 11.666 ± 0.001 eV.

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