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Timeline for Meaning of Lorentz Generators

Current License: CC BY-SA 3.0

10 events
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Apr 14, 2017 at 7:15 vote accept Maxim
Apr 13, 2017 at 11:18 answer added ACuriousMind timeline score: 5
Apr 13, 2017 at 10:35 history tweeted twitter.com/StackPhysics/status/852470178428452864
Apr 13, 2017 at 9:18 comment added Christoph @user73426: en.wikipedia.org/wiki/Exponential_map_(Lie_theory)
Apr 13, 2017 at 7:46 comment added Maxim @SolenodonParadoxus This isn't really an explanation: so $(J_{\alpha \beta})_{\mu \nu}$ are still some kind of differential operators, but $\Lambda^{\mu}_{\;\;\nu}$ is some kind of matrix? How does $\exp$ convert between these?
Apr 13, 2017 at 7:44 history edited Qmechanic CC BY-SA 3.0
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Apr 13, 2017 at 7:42 comment added Danijel @SolenodonParadoxus You should also define $[J_{\alpha\beta}]^\mu{}_\nu$ for a more complete explanation.
Apr 13, 2017 at 7:40 comment added Prof. Legolasov $\Lambda^{\mu}_{\;\nu} = \exp \left( \frac{i}{2} \Omega^{\alpha \beta} \left[ J_{\alpha \beta} \right] ^{\mu} _{\;\nu} \right)$ where $\exp$ is matrix exponential and $\Omega^{\alpha \beta}$ is a collection of 6 parameters (antisymmetric tensor) describing the concrete Lorentz transformation.
Apr 13, 2017 at 7:37 review First posts
Apr 13, 2017 at 7:41
Apr 13, 2017 at 7:34 history asked Maxim CC BY-SA 3.0