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 facultiesthat 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 (19401992)
“And his wish is intimacy,
Intimater intimacy,
And a stricter privacy;
The impossible shall yet be done,
And, being two, shall still be one.
As the wave breaks to foam on shelves,
Then runs into a wave again,
So lovers melt their sundered selves,
Yet melted would be twain.”
—Ralph Waldo Emerson (18031882)
“We are caught up Mr. Perry on a great wave whether we will or no, a great wave of expansion and progress. All these mechanical inventionstelephones, electricity, steel bridges, horseless vehiclesthey are all leading somewhere. Its up to us to be on the inside in the forefront of progress.”
—John Dos Passos (18961970)