Given two matrices $A$ and $B$ satisfying the commutation relation $$begin{equation} [A, B]=B tag{6.408} end{equation}$$ calculate $$begin{equation*}

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Given two matrices $A$ and $B$ satisfying the commutation relation

$$\begin{equation*}
[A, B]=B \tag{6.408}
\end{equation*}$$

calculate

$$\begin{equation*}
\exp (i \alpha A) B \exp (-i \alpha A) \tag{6.409}
\end{equation*}$$

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Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry

ISBN: 9781107191136

1st Edition

Authors: Esko Keski Vakkuri, Claus Montonen, Marco Panero

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Question Posted: May 07, 2024 03:00 AM

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Given two matrices $A$ and $B$ satisfying the commutation relation $$begin{equation*} [A, B]=B tag{6.408} end{equation*}$$ calculate $$begin{equation*}

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To calculate exp i alpha A B exp i alpha A we can use the BakerCampbellHausdorff ...View the full answer

Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry

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Given two matrices $A$ and $B$ satisfying the commutation relation $$begin{equation} [A, B]=B tag{6.408} end{equation}$$ calculate $$begin{equation*}