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some calculations
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@ -236,7 +236,7 @@ For a pure harmonic oscillator initial state \(\ket{n}\) we have
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\begin{equation}
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\label{eq:hoexp}
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\begin{aligned}
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\ev{q_0} &= \ev{p_0} = 2n+1 & \ev{q_0p_0} &= \iu.
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\ev{q^2_0} &= \ev{p^2_0} = 2n+1 & \ev{q_0p_0} &= \iu.
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\end{aligned}
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\end{equation}
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Note that \(p\) and \(p\) differ from the usual definition by a factor
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