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Ebert - Psi-k

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Ludwig<br />

Maximilians-<br />

Universität<br />

München<br />

Calculating τ nm for periodic array of scatterers<br />

Fourier transformation<br />

τ ( ⃗ k, E) = ∑ ⃗R n<br />

τ n0 (E) e i ⃗k ⃗R n<br />

G 0 ( ⃗ k, E) = ∑ ⃗R n<br />

G n0<br />

0 (E) ei ⃗k ⃗R n<br />

τ nm (E) = 1<br />

Ω BZ<br />

∫<br />

= 1<br />

Ω BZ<br />

∫<br />

d 3 k τ (⃗k, E)<br />

Ω BZ<br />

[<br />

Ω BZ<br />

d 3 k<br />

t(E) −1 − G 0 (⃗k, E)<br />

} {{ }<br />

KKR matrix M( ⃗ k,E)<br />

] −1<br />

e −i⃗ k( ⃗R n − ⃗R m )<br />

G 0 (⃗k, E): KKR structure constants matrix<br />

KKR07 – p.42/100

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