Precise energies of highly excited hydrogen and deuterium

2002 ◽  
Vol 80 (11) ◽  
pp. 1373-1382 ◽  
Author(s):  
S Kotochigova ◽  
P J Mohr ◽  
B N Taylor
Keyword(s):  
Least Squares ◽  
Quantum Number ◽  
Excited States ◽  
Quantum Electrodynamics ◽  
Theoretical Calculations ◽  
Principal Quantum Number ◽  
Energy Levels ◽  
Fundamental Constants ◽  
Relativistic Corrections ◽  
Least Squares Adjustment

The energy levels of hydrogen and deuterium atoms are calculated to provide frequencies for transitions between highly excited states with principal quantum number n up to 200. All known quantum electrodynamics and relativistic corrections have been included in the calculation. In some cases, contributions originally calculated for a few states have been extrapolated to highly excited states. The fundamental constants necessary for the calculation are taken from the 1998 CODATA least-squares adjustment. Evaluated uncertainties take into account uncertainties in the theoretical calculations, uncertainties in the fundamental constants, and covariances between the various contributions and input parameters. PACS Nos.: 31.15Pf, 31.30Jv, 32.10Hq

Vacuum polarization in muonic and exotic atoms: the Lamb shift at medium Z and high n

2007 ◽  
Vol 85 (5) ◽  
pp. 551-561 ◽  
Author(s):  
E Yu. Korzinin ◽  
V G Ivanov ◽  
S G Karshenboim
Keyword(s):  
Quantum Number ◽  
Lamb Shift ◽  
Vacuum Polarization ◽  
Principal Quantum Number ◽  
Energy Levels ◽  
Exotic Atoms ◽  
Atomic States

We present new results on various asymptotics for the Uehling contribution to the energy levels in atomic states in hydrogen-like atoms that have a principal quantum number n with a high value. The results may be applied to conventional atoms (with an orbiting electron) as well as to muonic, pionic, antiprotonic, and other exotic atoms.PACS Nos.: 36.10.Gv, 31.30.Jv

Investigation of Excited States of Helium Atoms in a Stationary PIG-Discharge

1971 ◽  
Vol 26 (2) ◽  
pp. 186-197 ◽  
Author(s):  
H. W. Drawin ◽  
F. Klan ◽  
H. Ringler
Keyword(s):  
Excited States ◽  
Theoretical Calculations ◽  
Principal Quantum Number ◽  
Population Densities ◽  
Boltzmann Plot ◽  
Line Intensities ◽  
Quantum Numbers ◽  
Collisional Radiative Model ◽  
Radiative Model ◽  
Large Experimental Error

AbstractSpectral line intensities emitted by a quiescent PIG-discharge have been measured and the population densities up to a principal quantum number n = 24 have been derived from them. The experimentally determined population densities have been compared with theoretical ones calculated on the basis of a collisional-radiative model in which one accounts for electron and atom collisions. I t is shown that even in the case of different electron and atom temperatures, Te and Ta, an evaluation of the Boltzmann plot at medium and moderately high quantum numbers always leads to the electron temperature, whereas the Saha-Eggert equation for the same states may yield incorrect electron densities. The theoretical calculations predict an inflection of the slope of the Boltzmann plot from Te to Ta for very highly excited states. For the plasma para­ meters under which the PIG-discharge was operated (ne ≅ 2.5 × 1012 cm-3, Te ≅ 1200°K, n0 ≅ 1.5 × 1015 cm-3, 300°K) the change of the slope should become visible for states having principal quantum numbers n > 18. Due to the large experimental error bars it was not possible to check this behaviour.

scholarly journals Fisher Information of Free-Electron Landau States

Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 268
Author(s):  
Takuya Yamano
Keyword(s):  
Quantum Number ◽  
Fisher Information ◽  
Free Electron ◽  
Principal Quantum Number ◽  
Energy Levels ◽  
Laguerre Polynomials ◽  
Polar Coordinates ◽  
Quantum Numbers ◽  
Lowest Landau Level ◽  
Cylindrical Polar Coordinates

An electron in a constant magnetic field has energy levels, known as the Landau levels. One can obtain the corresponding radial wavefunction of free-electron Landau states in cylindrical polar coordinates. However, this system has not been explored so far in terms of an information-theoretical viewpoint. Here, we focus on Fisher information associated with these Landau states specified by the two quantum numbers. Fisher information provides a useful measure of the electronic structure in quantum systems, such as hydrogen-like atoms and under some potentials. By numerically evaluating the generalized Laguerre polynomials in the radial densities, we report that Fisher information increases linearly with the principal quantum number that specifies energy levels, but decreases monotonically with the azimuthal quantum number m. We also present relative Fisher information of the Landau states against the reference density with m=0, which is proportional to the principal quantum number. We compare it with the case when the lowest Landau level state is set as the reference.

scholarly journals A New Class of Atomic States: The 'Wannier-ridge' Resonances

1982 ◽  
Vol 35 (5) ◽  
pp. 475 ◽  
Author(s):  
FH Read
Keyword(s):  
Quantum Number ◽  
Excited States ◽  
Principal Quantum Number ◽  
Electron Correlations ◽  
Feshbach Resonances ◽  
Doubly Excited States ◽  
New Class ◽  
Doubly Excited ◽  
Atomic States ◽  
New Evidence

The evidence for the existence of systems that are dominated by electron-electron correlations is briefly reviewed, with particular attention being paid to (i) the processes of near-threshold electronimpact ionization and excitation of atoms and (ii) the structure of atomic doubly excited states and Feshbach resonances. New evidence is then presented for the existence of atomic resonances in which two excited electrons both have high val. es of the principal quantum number n (up to n = 8), and in which these two electrons reside on or near the Wannier ridge (i.e. with r1 ~ -rz).

scholarly journals Spectroscopy of Highly Excited States of the Hydrogen Atom

2020 ◽  
Vol 74 (4) ◽  
pp. 285-288
Author(s):  
Simon Scheidegger ◽  
Frédéric Merkt
Keyword(s):  
Hydrogen Atom ◽  
Quantum Number ◽  
Excited States ◽  
Ionization Energy ◽  
Principal Quantum Number ◽  
Ionization Threshold ◽  
Rydberg Series ◽  
The Status

In this contribution, we describe the status of the development of a precision-spectroscopic experiment aimed at measuring transitions to states of high principal quantum number n of the hydrogen atom (H). These states form series (called Rydberg series) which converge for n → ∞ to the ionization threshold of H. The ionization energy of H can thus be determined directly by measuring the frequencies of transitions to high-n states and extrapolating the Rydberg series to n → ∞.

Energy levels and spectral lines for Ge-like Zr, Nb and Tc ions

2020 ◽  
Author(s):  
Miao Wu ◽  
Zhen-Cen He
Keyword(s):  
Quantum Electrodynamics ◽  
Transition Probabilities ◽  
Theoretical Calculations ◽  
Energy Levels ◽  
Spectral Lines ◽  
Oscillator Strengths ◽  
Hartree Fock ◽  
Experimental Values ◽  
Theoretical Results ◽  
Line Strengths

The energy levels, transition probabilities, oscillator strengths, line strengths and wavelengths of Ge-like Zr, Nb and Tc ions have been calculated using the multiconfiguration Dirac-Hartree-Fock method. The Breit interactions and quantum electrodynamics correction were taken into account. The calculated values of energy levels and wavelengths have been compared with other theoretical calculations and available experimental values, good agreements are achieved for most of the energy levels and wavelengths calculated. The number of energy levels and wavelengths considered is larger than that of any other theoretical calculations. And the transition probabilities, line strengths are also given where no other theoretical results and experimental values are available.

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