Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 psi(mathbf{r}) = e^{ikz} + f(theta)frac{e^{ikr}}{r} ; where mathbf{r}equiv{x,y,z} is the coordinate vector; requiv|mathbf{r}|; eikz is the incoming plane...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 psi(mathbf{r}) = e^{ikz} + f(theta)frac{e^{ikr}}{r} ; where mathbf{r}equiv{x,y,z} is the coordinate vector; requiv|mathbf{r}|; eikz is the incoming plane wave with the wave-vector k along the z axis; eikr / r is the outgoing spherical wave; is the scattering angle; and f( ) is the scattering amplitude. The dimension of the scattering amplitude is length. The differential cross-section is given as frac{dsigma}{dOmega} = |f(theta)|^2 ;. In the low-energy regime the scattering amplitude is determined by the scattering length.
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