Partial Wave Expansion
In the partial wave expansion the scattering amplitude is represented as a sum over the partial waves,
where is the partial amplitude and is the Legendre polynomial.
The partial amplitude can be expressed via the S-matrix element and the scattering phase as
Read more about this topic: Scattering Amplitude
Famous quotes containing the words partial, wave and/or expansion:
“The one-eyed man will be King in the country of the blind only if he arrives there in full possession of his partial faculties—that is, providing he is perfectly aware of the precise nature of sight and does not confuse it with second sight ... nor with madness.”
—Angela Carter (1940–1992)
“As the bird trims her to the gale,
I trim myself to the storm of time,
I man the rudder, reef the sail,
Obey the voice at eve obeyed in prime:
“Lowly faithful, banish fear,
Right onward drive unharmed;
The port, well worth the cruise, is near,
And every wave is charmed.””
—Ralph Waldo Emerson (1803–1882)
“The fundamental steps of expansion that will open a person, over time, to the full flowering of his or her individuality are the same for both genders. But men and women are rarely in the same place struggling with the same questions at the same age.”
—Gail Sheehy (20th century)