Ebert - Psi-k

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Ludwig Maximilians- Universität München Angular momentum representation for τ nm (E) τ nm LL ′ (E) = ∫Ω n d 3 r n ∫ Ω m d 3 r ′ m j× L (⃗r n, E)〈⃗r n |τ nm |⃗r ′ m 〉j L ′(⃗r m ′ , E) corresponding equation of motion τ nm (E) = t n (E)δ nm + t n (E) ∑ k≠n G nk 0 (E)τ km (E) and [τ nm ] LL ′ = τLL nm [ ] ′ G nm 0 = G nm LL ′ 0 LL ′ (1 − δ nm ) [t n ] LL ′ = t n l δ LL ′ matrix dimension: ∑ lmax l=0 ∑ +l m=−l 1 = (l max + 1) 2 KKR07 – p.38/100
Ludwig Maximilians- Universität München Calculating τ nm for finite array of scatterers τ (E) = t(E) + t(E) G 0 (E) τ (E) with [ τ ] nm = τ nm [ [ t ] nm = t n δ nm G 0 ] nm = G nm 0 (1 − δ nm ) τ (E) = [ t(E) −1 − G 0 (E) ] −1 matrix dimension: N scatterers × (l max + 1) 2 KKR07 – p.39/100
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Ebert - Psi-k

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