saving work for lecture 2
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{\textbf{\LARGE Bethe-Salpeter equation}
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{\textbf{\LARGE Bethe-Salpeter equation}
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$$
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$$
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\begin{pmatrix}
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\begin{pmatrix}
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R & C \\
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\bm{A} & \bm{B} \\
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-C^* & -R^{*}
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-\bm{B}^* & -\bm{A}^{*}
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\end{pmatrix}
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\end{pmatrix}
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\begin{pmatrix}
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\begin{pmatrix}
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X_m \\
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\bm{X}_m \\
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Y_m
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\bm{Y}_m
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\end{pmatrix}
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\end{pmatrix}
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=
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=
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\Omega_{m}
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\Omega_{m}
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\begin{pmatrix}
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\begin{pmatrix}
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X_m \\
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\bm{X}_m \\
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Y_m
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\bm{Y}_m
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\end{pmatrix}
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\end{pmatrix}
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$$
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$$
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};
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};
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