Ebert - Psi-k

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Ludwig Maximilians- Universität München Expanding the T -matrix T Introducing the auxilary quantity Q n T = V + V G 0 V + V G 0 V G o V + · · · = ∑ V n + ∑ V n G 0 V m + ∑ n n, m = ∑ n Q n n, m, k V n G 0 V m G 0 V k + · · · one has and finally T = ∑ n t n + Q n = t n + t n G 0 ∑ ∑ n, m (n≠m) t n G 0 t m + m (m≠n) ∑ Q m n, m, k (n≠m, m≠k) t n G 0 t m G 0 t k + · · · KKR07 – p.16/100
Ludwig Maximilians- Universität München T = ∑ n = ∑ n,m Scattering path operator τ t n + ∑ n, m (n≠m) t n G 0 t m + ∑ n, m, k (n≠m, m≠k) [ t n δ nm + t n G 0 t m (1 − δ nm ) + t n G 0 t m G 0 t k + · · · ∑ k (k≠n, k≠m) t n G 0 t k G 0 t m + · · · ] = ∑ n,m τ nm scattering path operator τ nm τ nm = t n δ nm + ∑ k≠n = t n δ nm + ∑ k≠n t n G 0 τ km τ nk G 0 t m Gyorffy (1971) KKR07 – p.17/100
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Ebert - Psi-k

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