corrections
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@ -261,6 +261,7 @@
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\bEta^{(2)}
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= \comm{\bHd^{(0)}}{\bHod^{(2)}}
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+ \underbrace{\comm{\bHd^{(1)}}{\bHod^{(1)}}}_{\bO}
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+ \underbrace{\comm{\bHd^{(2)}}{\bHod^{(0)}}}_{\bO}
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=
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\begin{pmatrix}
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\bO & \bF^{(0)} \bV^{(2)} - \bV^{(2)} \bC^{(0)}
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@ -273,7 +274,9 @@
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\begin{block}{Second-order effective Hamiltonian}
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\begin{equation}
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\dv{\bH^{(2)}}{s}
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= \comm{\bEta^{(2)}}{\bHd^{(0)}} + \underbrace{\comm{\bEta^{(1)}}{\bHd^{(1)}}}_{\bO}
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= \comm{\bEta^{(2)}}{\bHd^{(0)}}
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+ \comm{\bEta^{(1)}}{\bHod^{(1)}}
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+ \comm{\bEta^{(0)}}{\bH^{(2)}}
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=
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\begin{pmatrix}
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\dv{\bF^{(2)}}{s} & \dv{\bV^{(2)}}{s}
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