scholarly journals Exchange effects in the absorption of light. I. Ca and Ca +

1941 ◽  
Vol 177 (970) ◽  
pp. 329-340 ◽  
Keyword(s):  
Matrix Element ◽  
Transition Matrix ◽  
Continuous Wave ◽  
Transition Matrix Element ◽  
Wave Functions ◽  
Absorption Coefficients ◽  
Continuous Absorption ◽  
Exchange Effects ◽  
Absorption Of Light ◽  
Theory And Experiment

The continuous absorption coefficients of normal Ca and Ca + are calculated. Both the discrete and continuous wave functions used in the calculation include the effect of electron exchange. Comparison is effected with results obtained neglecting exchange and it is found that appreciable modifications are introduced by its inclusion. This is particularly true for Ca + which is a sensitive case owing to very strong interference in the integrand of the transition matrix element. The bearing of the results on the calculation of absorption coefficients in general is discussed, and it is pointed out that the discrepancy between theory and experiment for potassium arises because this also is a very sensitive case. An application of the results for Ca is made to resolve a discrepancy between determinations of interstellar electron densities carried out using different methods by Strömgren and Struve.

Theoretical ionization energies and oscillator strengths for the sodium isoelectronic sequence

1969 ◽  
Vol 47 (8) ◽  
pp. 835-838 ◽  
Author(s):  
R. P. McEachran ◽  
C. E. Tull ◽  
M. Cohen
Keyword(s):  
Matrix Element ◽  
Transition Matrix ◽  
Transition Matrix Element ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Isoelectronic Sequence ◽  
Ionization Energies ◽  
Core Approximation

Orbital wave functions for a number of 2S, 2P0, 2D, and 2F0 states of Na, Mg+, and Al2+ have been calculated by means of the frozen core approximation. The oscillator strengths of all allowed dipole transitions have been determined using both length and velocity formulations for the transition matrix element; these results agree with each other to within a few percent.

HARTREE–FOCK WAVE FUNCTIONS FOR EXCITED STATES: IV. OSCILLATOR STRENGTHS IN THE HELIUM ISOELECTRONIC SEQUENCE

1967 ◽  
Vol 45 (6) ◽  
pp. 2079-2090 ◽  
Author(s):  
Maurice Cohen ◽  
Paul S. Kelly
Keyword(s):  
Matrix Element ◽  
Excited States ◽  
Transition Matrix ◽  
Transition Matrix Element ◽  
Wave Functions ◽  
Oscillator Strengths ◽  
Isoelectronic Sequence ◽  
Hartree Fock ◽  
Good Agreement

Orbital wave functions for a number of singlet and triplet S, P, and D states of the helium sequence through C+4 have been calculated using an approximation described earlier. The wave functions have been employed to calculate the oscillator strengths for all allowed dipole transitions between these states, using both the length and velocity forms of the transition matrix element. Our results are in good agreement with the most accurate values available.

OPTICAL PROPERTIES OF RANDOM III–V TERNARY SEMICONDUCTING ALLOYS

2002 ◽  
Vol 16 (24) ◽  
pp. 3681-3695
Author(s):  
BIPLAB GANGULI ◽  
ABHIJIT MOOKERJEE
Keyword(s):  
Optical Properties ◽  
Matrix Element ◽  
Ternary Alloy ◽  
Transition Matrix ◽  
Optical Transition ◽  
Transition Matrix Element ◽  
Semiconducting Alloys

The formalism developed earlier for the study of optical properties of random semiconducting alloys has been applied to the ternary alloy GaAs x Sb 1-x. The effects of randomness in the optical transition matrix element has been shown within the formalism.

Shell effect in transition matrix element of two-body residual interaction

1987 ◽  
Vol 4 (4) ◽  
pp. 157-160
Author(s):  
Cheng Yehao ◽  
Zhao Kui ◽  
Li Qingli ◽  
Han Shukui ◽  
Yu Quan ◽  
...  
Keyword(s):  
Matrix Element ◽  
Transition Matrix ◽  
Transition Matrix Element ◽  
Residual Interaction ◽  
Shell Effect

scholarly journals The transition matrix element Agq(N) of the variable flavor number scheme at O(αs3)

2014 ◽  
Vol 882 ◽  
pp. 263-288 ◽  
Author(s):  
J. Ablinger ◽  
J. Blümlein ◽  
A. De Freitas ◽  
A. Hasselhuhn ◽  
A. von Manteuffel ◽  
...  
Keyword(s):  
Matrix Element ◽  
Transition Matrix ◽  
Transition Matrix Element

scholarly journals Calculation of the N to Δ electromagnetic transition matrix element

2003 ◽  
Vol 119 ◽  
pp. 413-415 ◽  
Author(s):  
C. Alexandrou ◽  
Ph. de Forcrand ◽  
Th. Lippert ◽  
H. Neffl ◽  
J.W. Negele ◽  
...  
Keyword(s):  
Matrix Element ◽  
Transition Matrix ◽  
Transition Matrix Element ◽  
Electromagnetic Transition

scholarly journals The continuous absorption of light in potassium vapour

1943 ◽  
Vol 181 (987) ◽  
pp. 386-399 ◽  
Keyword(s):  
Atomic Absorption ◽  
Ultra Violet ◽  
Effective Length ◽  
Absorption Process ◽  
Molecular Absorption ◽  
Continuous Absorption ◽  
Exchange Effects ◽  
Absorption Of Light ◽  
New Type ◽  
Vacuum Ultra Violet

A new type of absorption tube for the study of metal vapours is described. It is shown how the effective length of the absorbing column may be calculated. Measurements of the continuous absorption in potassium vapour, extending into the vacuum ultra-violet, are described. A separation of the atomic and molecular absorption is effected. At short wavelengths the atomic absorption appears to increase rapidly, and varies linearly with the frequency. The value of the absorption coefficient at the series limit is 1·2 (± 0·3) x 10 -20 cm. 2 . The results for the atomic absorption are in conflict with theory. It is suggested that exchange effects are operative in the absorption process and may account for the discrepancy.

scholarly journals The polarized transition matrix element A(N) of the variable flavor number scheme at O(αs3)

2021 ◽  
Vol 964 ◽  
pp. 115331
Author(s):  
A. Behring ◽  
J. Blümlein ◽  
A. De Freitas ◽  
A. von Manteuffel ◽  
K. Schönwald ◽  
...  
Keyword(s):  
Matrix Element ◽  
Transition Matrix ◽  
Transition Matrix Element
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