In quantum physics, the scattering amplitude is the amplitude of the outgoing spherical wave relative to the incoming plane wave in the stationary-state scattering process. The latter is described by the wavefunction
where is the coordinate vector; ; is the incoming plane wave with the wave-vector along the axis; is the outgoing spherical wave; is the scattering angle; and is the scattering amplitude. The dimension of the scattering amplitude is length.
The differential cross-section is given as
In the low-energy regime the scattering amplitude is determined by the scattering length.
Famous quotes containing the words scattering and/or amplitude:
“Or of the garden where we first mislaid
Simplicity of wish and will, forgetting
Out of what cognate splendor all things came
To take their scattering names;”
—Richard Wilbur (b. 1921)
“Imagination, which in truth
Is but another name for absolute power
And clearest insight, amplitude of mind,
And reason, in her most exalted mood.”
—William Wordsworth (17701850)