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

Hydrogen Atmospheres in the Absence of Thermodynamic Equilibrium. II. The Populations of the Lower Atomic States

1948 ◽  
Vol 1 (3) ◽  
pp. 289
Author(s):  
RG Giovanelli
Keyword(s):  
Quantum Number ◽  
Thermodynamic Equilibrium ◽  
Principal Quantum Number ◽  
Black Body ◽  
Atomic States

The populations of the hydrogen substates of principal quantum number 1, 2, or 5 are calculated for a range of electron concentrations from 108 to 1013 per cc. and electron temperatures from 7.5 x 103 to 1.0 x 105 �K., in the presence of radiation from a black body at a temperature of 5x 103 �K., diluted by a factor of 1, 0.5, or 0.

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).

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

Zur Kenntnis der Dihalogen-tris-(4-dimethylamino-phenyl)-Verbindungen von Phosphor, Arsen, Antimon und Wismut / Dihalogeno-tris- (4-dimethylamino-phenyl) -Compounds of Phosphorus, Arsenic, Antimony, and Bismuth

1972 ◽  
Vol 27 (6) ◽  
pp. 591-595 ◽  
Author(s):  
Jörn-Michael Keck ◽  
Günter Klar
Keyword(s):  
Chemical Shift ◽  
Quantum Number ◽  
Principal Quantum Number ◽  
Valence Electrons ◽  
Phenyl Compounds ◽  
Atomic Parameters

The synthesis of the dihalogeno-tris-(4-dimethylamino-phenyl)-compounds Ar2EX2 (E = P, As, Sb; X = Cl, Br, J and E = Sb, X = F; E = Bi, X = Cl) is described. A generally valid correlation between the chemical shift of the n.m.r. signal of an atom and the atomic parameters electronegativity and principal quantum number of valence electrons is deduced.

scholarly journals Finite nuclear size and Lamb shift ofp-wave atomic states

2003 ◽  
Vol 67 (6) ◽  
Author(s):  
A. I. Milstein ◽  
O. P. Sushkov ◽  
I. S. Terekhov
Keyword(s):  
Lamb Shift ◽  
Nuclear Size ◽  
Atomic States

scholarly journals The Uehling correction to the energy levels in a pionic atom

2006 ◽  
Vol 84 (2) ◽  
pp. 107-113 ◽  
Author(s):  
S G Karshenboim ◽  
E Yu. Korzinin ◽  
V G Ivanov
Keyword(s):  
Free Electron ◽  
Vacuum Polarization ◽  
Energy Levels ◽  
Analytic Form ◽  
Electron Mass ◽  
Mass Ratio ◽  
Pionic Atom ◽  
Closed Analytic Form

We consider a correction to energy levels in a pionic atom induced by the Uehling potential, i.e., by a free electron vacuum-polarization loop. The calculation is performed for circular states (l = n–1). The result is obtained in a closed analytic form as a function of Zα and the pion-to-electron mass ratio. Certain asymptotics of the result are also presented.PACS Nos.: 12.20.Ds, 36.10.Gv

scholarly journals CONTRADICTION TO THE TABLE OF D. I. MENDELEEV AND THEIR ELIMINATION

2021 ◽  
Vol 2 (446) ◽  
pp. 14-21
Author(s):  
N.К. Akhmetov ◽  
G.U. Ilyasova ◽  
S. K. Kazybekova
Keyword(s):  
Quantum Number ◽  
Periodic Table ◽  
Chemical Elements ◽  
Principal Quantum Number ◽  
Quantum States ◽  
Outer Electron ◽  
New Approach ◽  
Electronic Configurations ◽  
New Formula ◽  
Electron Shells

The article discusses a new approach to the formation of periods of the Periodic Table of Mendeleev. With the help of the new formula and the first proposed quantum states of the outer electron shells of atoms of chemical elements, the periods of the periodic table are reformatted. It is supposed to reduce the number of periods in the table by introducing the corresponding sub-periods. This is confirmed by the material given in the article. The following description of the order of formation of electron layers is proposed: the principal quantum number (n), then the newly proposed quantum states of electrons («first» and «second»), which in turn constitute the electronic configurations of sub-periods in periods, and only then the remaining quantum orbitals (s, p, d and f).

Sign in / Sign up

Export Citation Format

Share Document