Ebert - Psi-k

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Ludwig Maximilians- Universität München Standard scattering experiment ψ(⃗r, E) = e i ⃗k·⃗r } {{ } incoming plane wave + f(θ, φ) eikr }{{} r outgoing spherical wave scattering amplitude f(θ, φ) KKR07 – p.18/100
Ludwig Maximilians- Universität München Single-site scattering problem Standard problem in a scattering experiment scattering of a plane wave at a target Lippmann-Schwinger equation ∫ ψ(⃗r, E) = e i⃗k⃗r + d 3 r ′ G 0 (⃗r, ⃗r ′ , E) V n (⃗r) ψ(⃗r, E) Ω n ∫ = e i⃗k⃗r + d ∫Ω 3 r ′ d 3 r ′′ G 0 (⃗r, ⃗r ′ , E) t n (⃗r ′ , ⃗r ′′ , E) e i⃗ k⃗r ′′ n Ω n with |⃗k| = √ E KKR07 – p.19/100
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Ebert - Psi-k

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