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Results tagged with special-relativity
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user 269308
The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.
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Commutator of $K$ and $\alpha_p^\dagger$
I am trying to find the commutator of $K$, which is just the infinitesimal generator of Lorenz boosts, and $\alpha_p^\dagger$, the creation operator for a particle of momentum $p$ defined by:
$$\alpha …
- 269
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Spin and Representation Theory
So for integer spin, the way I understand it mathematically (in a classical limit), is that under a Lorentz transformation (i.e. change of coordinates), spin $n$ particles transform like rank $n$ cova …
- 269
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What is the physical significance of $\mathbf{E}^2-\mathbf{B}^2$ in E and M?
Choosing nice units, i.e $c=1$, the electromagnetic energy density is:
$$u=\frac{1}{2}\left(\mathbf{E}^2+\mathbf{B}^2\right).$$
This is not Lorentz invariant, which makes sense since our nonrelativist …
- 269