Suppose that an initial state consists of two electrons with the same spin in states qvector) 1 and q(vector) 2 , and the final state consists of electrons in states q(vector) 3 and q(vector) 4 Deduce the scattering matrix elements that are first and second order in the Coulomb interaction following the same procedure as used to deduce (8 6 34) Show that your answers have units of energy 1 2 ka kyk3 JAKI k4 k3 barbaro (8 6 36)

Question: Suppose that an initial state consists of two electrons with the same spin in states qvector) 1 and q(vector) 2 , and the final state

Suppose that an initial state consists of two electrons with the same spin in states qvector)₁ and q(vector)₂, and the final state consists of electrons in states q(vector)₃ and q(vector)₄ Deduce the scattering matrix elements that are first and second order in the Coulomb interaction 1 2 ka kyk3 JAKI k4 k3 barbaro (8.6.36)

following the same procedure as used to deduce (8.6.34). Show that your answers have units of energy.

1 2 ka kyk3 JAKI k4 k3 barbaro (8.6.36)

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where In second order the S matrix is given by St to 1 1 1 in t dtV ti 22 217 dts f for i to i to Vt eiHothye Hoth s t to 1 dt12 12 dts i to 2 dt dtT V tV t Mb tb tb tb t k1K2k3 868 As in the worked o... View full answer

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