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Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

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What happen in calculate $ (\boldsymbol{\sigma} \cdot \boldsymbol{J}) (\boldsymbol{\sigma} \...

If I use $ \boldsymbol{J} = \boldsymbol{L} + \boldsymbol{S} = \boldsymbol{L} + \frac{\boldsymbol{\sigma}}{2} $, then \begin{align*} (\boldsymbol{\sigma} \cdot \boldsymbol{J}) (\boldsymbol{\sigma} \cd …
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How to prove $ g^{\mu\nu}\Lambda^{\rho}{}_{\mu}\Lambda^{\sigma}{}_{\nu}=g^{\rho\sigma} $ for...

In Srednicki's book, we have \begin{align*} g_{\mu\nu}\Lambda^\mu{}_\rho\Lambda^\nu{}_\sigma=g_{\rho\sigma} \end{align*} and let $ \Lambda \to \Lambda^{-1} $, use the relationship $ (\Lambda^{-1})^\r …
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  • 79
-1 votes
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How to calculate the inner product $ \langle T|x \rangle = \langle\frac{p^2}{2\mu} |x\rangle$? [closed]

If I have a wave function $ \psi (x) = \langle x|\psi \rangle$, now I want to use kinetic energy representation $$ T = \frac{p^2}{2\mu} ,$$ where $ \mu $ is the mass of particle. I try to \begin{align …
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