Recent content by tannhaus
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Undergrad When can I commute the 4-gradient and the "space-time" integral?
Let's say I have the following situation $$I = \dfrac{\partial}{\partial x^{\alpha}}\int e^{k_{\mu}x^{\mu}} \;d^4k$$ Would I be able to commute the integral and the partial derivative? If so, why is that? In the same line of thought, in the situation I'm able to commute, would the result of...- tannhaus
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- Classical field theory Field theory Tensor calculus Tensor notation
- Replies: 2
- Forum: Differential Geometry
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Graduate How can I calculate the square of the Pauli-Lubanski pseudovector?
Hello there, recently I've been trying to demonstrate that, $$\textbf{W}^2 = -m^2\textbf{S}^2$$ in a rest frame, with ##W_{\mu}## defined as $$W_{\mu} = \dfrac{1}{2}\varepsilon_{\mu\alpha\beta\gamma}M^{\alpha\beta}p^{\gamma}$$ such that ##M^{\mu\nu}## is an operator of the form $$...- tannhaus
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- Field theory Qft Quantum field theory Tensor algebra
- Replies: 1
- Forum: Special and General Relativity