Polarization propagator calculations of frequency-dependent polarizabilities, Verdet constants, and energy weighted sum rules

1978 ◽  
Vol 68 (6) ◽  
pp. 2527 ◽  
Author(s):  
Poul Jo̸rgensen ◽  
Jens Oddershede ◽  
Nelson H. F. Beebe
Keyword(s):  
Sum Rules ◽  
Weighted Sum ◽  
Frequency Dependent ◽  
Polarization Propagator

A Comparison of Møller-Plesset and Coupled Cluster Linear Response Theory Methods for the Calculation of Dipole Oscillator Strength Sum Rules and C6 Dispersion Coefficients

2008 ◽  
Vol 73 (11) ◽  
pp. 1415-1436 ◽  
Author(s):  
Ivana Paidarová ◽  
Stephan P. A. Sauer
Keyword(s):  
Oscillator Strength ◽  
Linear Response ◽  
Sum Rules ◽  
Linear Response Theory ◽  
Second Order ◽  
Coupled Cluster ◽  
Response Theory ◽  
Polarization Propagator ◽  
Dipole Oscillator ◽  
Moller Plesset

Four correlated linear response theory methods - the second order polarization propagator approximation (SOPPA), the second order polarization propagator approximation with coupled cluster singles and doubles amplitudes, SOPPA(CCSD), the CC2 and coupled cluster singles doubles (CCSD) linear response theory - were used to determine the dipole oscillator strength sum rules of the hydrogen halides HX (with X = F, Cl, Br and I) and the C6 dispersion coefficient for all pairs of interacting HX molecules via numerical integration of the Casimir-Polder formula. The dependence of the polarizabilities, their frequency dependence and the C6 coefficients on the level of correlation and the dependence of the C6 coefficients on the two intramolecular bond lengths were studied.

Generalized isospin sum rule: an application to magnetic transitions

1984 ◽  
Vol 62 (8) ◽  
pp. 764-770 ◽  
Author(s):  
John A. Montgomery ◽  
Kwang-Bock Yoo ◽  
Herbert Überall ◽  
B. Bosco
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
Sum Rules ◽  
Experimental Results ◽  
Weighted Sum ◽  
Magnetic Transitions ◽  
Sum Rule ◽  
Numerical Predictions ◽  
Magnetic Dipole Transitions ◽  
Special Case

Energy-weighted sum rules with separated isospin contributions for arbitrary operators and multipolarities are developed for photonuclear and electron-scattering transitions. The Kurath sum rule is contained as a special case. Applying the sum rule to magnetic dipole transitions, ensuing numerical predictions for non-self-conjugate nuclei are compared with experimental results.

scholarly journals The influence of the nuclear surface diffuseness on the transition charge densities.

2019 ◽  
Vol 3 ◽  
pp. 104
Author(s):  
T. S. Kosmas ◽  
J. D. Vergados
Keyword(s):  
Sum Rules ◽  
Form Factors ◽  
Scattering Data ◽  
Nuclear Surface ◽  
Weighted Sum ◽  
Transition Form ◽  
Charge Densities ◽  
Nuclear Ground State ◽  
Surface Diffuseness ◽  
Model Approach

Proton partial occupancies of the nuclear surface orbits are used in a modified shell model approach to study isoscalar dipole transition charge densities and form factors for self-conjugate nuclei. The energy-weighted sum-rules of Harakeh-Dieperink for both the transition form factor and transition charge density are modified so as fractional occupation probabilities of the states may be used. The partial occupancies of the surface n/j-levels are determined by fitting to the experimental inelastic scattering data and compared with those found previously in the study of nuclear ground state properties

scholarly journals Energy Weighted Sum Rules for Spin-Dependent Excitations of Nuclei

1980 ◽  
Vol 63 (5) ◽  
pp. 1599-1607 ◽  
Author(s):  
S. Nishizaki ◽  
K. Ando
Keyword(s):  
Sum Rules ◽  
Weighted Sum

scholarly journals Energy-weighted sum rules, y-scaling and duality

2003 ◽  
Vol 17 (3) ◽  
pp. 391-395 ◽  
Author(s):  
J.W. Van Orden ◽  
S. Jeschonnek
Keyword(s):  
Sum Rules ◽  
Weighted Sum

Inverse energy weighted sum-rules

Pramana ◽  
1989 ◽  
Vol 32 (4) ◽  
pp. 507-513 ◽  
Author(s):  
V K B Kota ◽  
V Potbhare ◽  
P Shenoy ◽  
N Tressler
Keyword(s):  
Sum Rules ◽  
Weighted Sum

Model dependence of energy-weighted sum rules

1978 ◽  
Vol 301 (1) ◽  
pp. 93-118 ◽  
Author(s):  
Michael W. Kirson
Keyword(s):  
Sum Rules ◽  
Weighted Sum ◽  
Model Dependence
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