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Commit bb32fdb0 authored by Maciej Topyla's avatar Maciej Topyla
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Update src/6_eigenvectors_QM.md

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......@@ -67,7 +67,11 @@ the rules of matrix multiplication:
This relations follows from the eigenvalue equation in terms of components
$$
\sum_{j=1}^n A_{ij} v_j = \lambda v_i \, ,\quad \to \quad \sum_{j=1}^n A_{ij} v_j - \sum_{j=1}^n\lambda \delta_{ij} v_j =0 \, ,\quad \to \quad \sum_{j=1}^n\left( A_{ij} - \lambda \delta_{ij}\right) v_j =0 \, .
\begin{array}{r}
\sum_{j=1}^n A_{ij} v_j = \lambda v_i \, , \\
\to \quad \sum_{j=1}^n A_{ij} v_j - \sum_{j=1}^n\lambda \delta_{ij} v_j =0 \, ,\\
\to \quad \sum_{j=1}^n\left( A_{ij} - \lambda \delta_{ij}\right) v_j =0 \, .
\end{array}
$$
Therefore the eigenvalue condition can be written as a set of coupled linear equations
$$
......
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