scholarly journals QED calculations of three-photon transition probabilities in H-like ions with arbitrary nuclear charge

2016 ◽  
Vol 49 (5) ◽  
pp. 055001 ◽  
Author(s):  
T Zalialiutdinov ◽  
D Solovyev ◽  
L Labzowsky
Keyword(s):  
Transition Probabilities ◽  
Nuclear Charge ◽  
Photon Transition

QED calculation of two-electron one-photon transition probabilities in He-like ions

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Konstantin N. Lyashchenko ◽  
Oleg Yu. Andreev ◽  
Deyang Yu
Keyword(s):  
Transition Probabilities ◽  
Photon Transition

scholarly journals Atomic X-ray Transition Probabilities: A Comparison of the Dipole Length, Velocity and Acceleration Forms

1984 ◽  
Vol 37 (1) ◽  
pp. 45 ◽  
Author(s):  
HM Quiney ◽  
FP Larkins
Keyword(s):  
Transition Probabilities ◽  
Nuclear Charge ◽  
Principal Quantum Number ◽  
Dipole Transition ◽  
Final States ◽  
X Ray ◽  
Hartree Fock ◽  
Isoelectronic Series ◽  
Rydberg Electron ◽  
Dipole Length

The length, velocity and acceleration forms of the dipole transition operator are examined in calculations of diagram and satellite X-ray emission probabilities in the Ne + to Ar 9 + isoelectronic series. All calculations are within the relaxed nonrelativistic Hartree-Fock framework, using separately optimized numerical wavefunctions for the initial and final electronic states. Divergence between the alternative forms of the transition moment, as the principal quantum 'number of the Rydberg electron and nuclear charge are increased, is discussed in the context of electron correlation differences between the initial and final states.

scholarly journals Theoretical Studies on Transition Wavelengths and Transition Probabilities

1972 ◽  
Vol 14 ◽  
pp. 559-559
Author(s):  
A. Dalgarno
Keyword(s):  
Experimental Data ◽  
Transition Probabilities ◽  
Nuclear Charge ◽  
Relativistic Effects ◽  
Atomic Transition ◽  
Theoretical Studies ◽  
Molecular Absorption ◽  
Model Potentials ◽  
Theoretical Methods ◽  
Absorption And Emission

A discussion is presented of some theoretical methods for predicting atomic transition wavelengths and transition probabilities that are especially useful for highly stripped ions. Particular attention is given to procedures involving model potentials and pseudo-potentials and to procedures involving expansions in inverse powers of the nuclear charge. The importance of relativistic effects is assessed. The results of some recent calculations are compared to experimental data. Theoretical studies of molecular absorption and emission are briefly summarized.

MULTIPOLE MATRIX ELEMENTS ν FOR H-LIKE ATOMS, THEIR ASYMPTOTICS AND APPLICATIONS (AS β=1, n ≤ 4, n' ≤ 10)

2009 ◽  
Vol 23 (08) ◽  
pp. 2041-2067 ◽  
Author(s):  
V. F. TARASOV
Keyword(s):  
Singular Point ◽  
Transition Probabilities ◽  
Nuclear Charge ◽  
Oscillator Strengths ◽  
Matrix Elements ◽  
Auxiliary Parameter ◽  
Radial Equation ◽  
Effective Nuclear Charge ◽  
Line Intensities

This article deals with the connection between multipole matrix elements <nl|rβ|n'l' >ν for H-like atoms and new properties of Appell's function F2(x,y) to the vicinity of the singular point (1, 1), where ν is the so-called "auxiliary" parameter of Heun-Schrödinger's radial equation, |1 - ν| = o(1), [Formula: see text] is the "effective" nuclear charge. Exact numerical values for the dipole matrix elements, the average oscillator strengths, the transition probabilities and the line intensities, as n ≤ 4 and n' ≤ 10, in the form of regular rational fractions are given (in Tables 1–4), that make more precise the well-known Tables 13–16 by Hans A. Bethe.

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