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 only coöperation which is commonly possible is exceedingly partial and superficial; and what little true coöperation there is, is as if it were not, being a harmony inaudible to men. If a man has faith, he will coöperate with equal faith everywhere; if he has not faith, he will continue to live like the rest of the world, whatever company he is joined to.”
—Henry David Thoreau (1817–1862)
“Wind goes from farm to farm in wave on wave,
But carries no cry of what is hoped to be.
There may be little or much beyond the grave,
But the strong are saying nothing until they see.”
—Robert Frost (1874–1963)
“Every expansion of government in business means that government in order to protect itself from the political consequences of its errors and wrongs is driven irresistibly without peace to greater and greater control of the nation’s press and platform. Free speech does not live many hours after free industry and free commerce die.”
—Herbert Hoover (1874–1964)