Transformation Properties of Spherical HarmonicsELSEVIERPure and Applied Physics
spherical harmonicsFresnel boundary conditionsCoefficients of transmission, absorption, and reflectance of a composite based on pentaerythritol tetranitrate and spherical cobalt nanoparticles were calculated as functions of sample thickness and mass fraction of metal particles using Mie theory and radiative ...
Higher Riesz transforms and spherical harmonics Further results IV.THE LITTLEWOOD.PALEY THEORY AND MULTIPLIERS The Littlewood-Paley g-function The functiong Multipliers(first version) Application of the partial sums operators The dyadic decomposition ...
Rather, it combines the well-known theory and practical utility of the spherical harmonics with the spatial localization properties of spline basis functions... A Amirbekyan,V Michel,FJ Simons - 《Geophysical Journal of the Royal Astronomical Society》 被引量: 24发表: 2010年 Application of Multiv...
On series expansions of orientation-dependent properties of pairs of non-spherical moleculesThe accuracies of expansions of pair-wise molecular properties in angle-dependent functions are re-examined. The usual expansions in orthogonal polynomials such as products of spherical harmonics are those which,...
Translational and rotational expansion of spherical Gaussian wave functions for multicenter molecular integrals The expansion of the regular solid spherical harmonicsrlYlm(θφ) [and the irregular solid spherical harmonicsr(l+1)Ylm(θφ)] about a displaced center is ... LYC Chiu,M Moharerrzadeh -...
This procedure, eventually, the spherical harmonics (for 3D systems) or also yields a density-of-states-type function. Consequently, the pairing potential, which in general has a spin-antisymmetric or a spin-symmetric structure, becomes expressed in terms of a double series of the spherical ...
Describing the less compact shapes adopted by the nucleus during the advanced stages of the fission process is particularly challenging, as it requires many deformation parameters. Expanding the nuclear radius into spherical harmonics becomes computationally expensive due to the substantial dimensions ...
This package employs the full-potential linearized augmented plane wave (FP-LAPW) technique as a component of DFT theory [28]. In this context, the Kohn-Sham equation is solved by expanding the wave functions in spherical harmonics, which are formed within the atomic spheres. To describe the ...
The potential and the density in the interstitial region are expanded in terms of plane waves while inside the muffin-tin sphere they are expanded in terms of spherical harmonics. Inside the muffin-tin spheres, the expansion of the non-spherical potential and charge density were carried out up ...