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** Determinant of $ M$ (10 min)

Consider the case $ k_1=k_{N+1}$ in (2.14). Use the definitions for $ T^1$ ($ T^n$ correspondingly) and $ M$

$\displaystyle T^1=\frac{1}{2k_1}\left( \begin{array}{cc} (k_1+k_2)e^{i(k_2-k_1)...
..._1)x_1} & (k_1+k_2)e^{-i(k_2-k_1)x_1} \end{array} \right),\quad M=T^1T^2...T^N,$ (20)

to show that the determinant of the transfer matrix $ \det(M)=1$.



Tobias Brandes 2004-02-04