An analytical expression for the H matrix relevant to Rayleigh scattering

Asymptotic Completeness for Rayleigh Scattering

It is expected that the state of an atom or molecule, initially put into an excited state with an energy below the ionization threshold, relaxes to a groundstate by spontaneous emission of photons which propagate to spatial infinity. In this paper, this picture is established for a large class of models of non-relativistic atoms and molecules coupled to the quantized radiation field, but with t...

Asymptotic Completeness for Rayleigh Scattering

We consider an electron bound by some anharmonic external potential and coupled to the quantized radiation eld in the dipole approximation. We prove asymptotic completeness for the photon scattering. This means that an arbitrary initial state has a long time asymptotic, which consists of electron plus radiation eld in their coupled ground state and nitely many outgoing photons.

Rayleigh Scattering for the Kelvin-inverted Ellipsoid

The Kelvin-inverted ellipsoid, with the center of inversion at the center of the ellipsoid, is a nonconvex biquadratic surface that is the image of a triaxial ellipsoid under the Kelvin mapping. It is the most general nonconvex 3-D body for which the Kelvin inversion method can be used to obtain analytic solutions for low-frequency scattering problems. We consider Rayleigh scattering by such a ...

Rayleigh-scattering calculations for the terrestrial atmosphere.

Rayleigh-scattering cross sections and volume-scattering coefficients are computed for standard air; they incorporate the variation of the depolarization factor with wavelength. Rayleigh optical depths are then calculated for the 1962 U.S. Standard Atmosphere and for five supplementary models. Analytic formulas are derived for each of the parameters listed. The new optical depths can be 1.3% lo...

Analytical Expression for the Inverted Inertia Matrix of Serial Robots