Scattering Theory of Waves and Particles

Reexamination of the astrophysicalSfactor for theα+d→6Li

“…where κ is the bound state wave number, then such a potential is unique and its scattering amplitude can be analytically continued into the bound state pole [25]. Thus the ambiguity in the two-body potential calls for more thorough selection of the potential because eventually the adopted potential for the bound state will determine the overall normalization of the astrophysical factor for peripheral direct radiative capture processes.…”

Phase coherent transmission through interacting mesoscopic systems

“…There is an analogue of the Friedel sum rule in scattering theory. Known as Levinson's theorem [40], it relates the number of bound states in a scattering region to the sum of the scattering phase shifts at zero energy. Employing the Friedel sum rule, Levy Yeyati and Büttiker argued that the addition of a charge ∆Q to a conducting region Ω should change the phase of the transmission amplitude t through that region according to ∆Q/e = ∆arg(t)/π.…”

Ordering of droplets and light scattering in polymer dispersed liquid crystal films

“…Using the well-known Rayleigh-Gans approximation [26,27], we compute the elements of the scattering amplitude matrix and the scattering cross section.…”

“…Following the standard procedure [26,27], the undisturbed incident wave is assumed to be a harmonic plane wave with the frequency ω and the wavenumber k = n m ω/c. The wave is propagating through the effective medium along the direction specified by a unit vector k inc and the wave vector k inc = kk inc .…”

“…[Throughout the paper summation over repeated indices will be assumed.] Asymptotic behavior of the scattered outgoing wave in the far field region (kr ≫ 1) is known [26,27]:…”