scholarly journals Analytic matrix elements for the two-electron atomic basis with logarithmic terms

2014 ◽  
Vol 55 (8) ◽  
pp. 082104 ◽  
Author(s):  
Evgeny Z. Liverts ◽  
Nir Barnea
Keyword(s):  
Matrix Elements ◽  
Analytic Matrix

Analytic matrix elements of the dipole moment and Herman-Wallis coefficients

1994 ◽  
Vol 15 (1) ◽  
pp. 131-142 ◽  
Author(s):  
F. M. Fern�ndez ◽  
J. F. Ogilvie
Keyword(s):  
Dipole Moment ◽  
Matrix Elements ◽  
Analytic Matrix

The light-scattering Mueller matrices for Rayleigh and Rayleigh-Gans-Debye approximation

1990 ◽  
Vol 55 (12) ◽  
pp. 2889-2897
Author(s):  
Jaroslav Holoubek
Keyword(s):  
Light Scattering ◽  
Theoretical Work ◽  
Matrix Elements ◽  
Elastic Light Scattering ◽  
Yield Information ◽  
Recent Theoretical Work ◽  
Particle Parameters ◽  
Complete Set ◽  
Single Matrix ◽  
Scattering Matrix Elements

Recent theoretical work has shown that the complete set of polarized elastic light-scattering studies should yield information about scatterer structure that has so far hardly been utilized. We present here calculations of angular dependences of light-scattering matrix elements for spheres near the Rayleigh and Rayleigh-Gans-Debye limits. The significance of single matrix elements is documented on examples that show how different matrix elements respond to changes in particle parameters. It appears that in the small-particle limit (Rg/λ < 0.1) we do not loose much information by ignoring "large particle" observables.

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