Timeline for On the difference between orbital angular momentum $\hat L$ and spin angular momentum $\hat S$
Current License: CC BY-SA 4.0
8 events
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Jul 16, 2021 at 0:37 | comment | added | ZeroTheHero | … and so such functions in $\mathbb{R}^3$ are possible to represent spin states. | |
Jul 15, 2021 at 23:50 | comment | added | ZeroTheHero | Actually angular momentum does not act (algebraically) in $L^2(\mathbb{R}^3)$, but in a direct sum of Hilbert spaces of different dimensions. The Hilbert space of dimension $2j+1$ occurs exactly $2j+1$ times in the full Hilbert space by Peter-Weyl theorem. Basis functions can be chosen to be in terms of real coordinates, but the choice of basis functions is inessential to the formalism of QM. | |
Jul 15, 2021 at 23:23 | answer | added | Brian Bi | timeline score: 1 | |
Jul 15, 2021 at 19:24 | comment | added | anna v | If elementary particles were not assigned a spin, conservation of angular momentum would not hold at quantum level interactions.. The assignement in the table is consistent with angular momentum conservation at the quantum level en.wikipedia.org/wiki/Elementary_particle | |
Jul 15, 2021 at 17:47 | vote | accept | ric.san | ||
Jul 15, 2021 at 17:37 | history | edited | SuperCiocia | CC BY-SA 4.0 |
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Jul 15, 2021 at 17:35 | answer | added | SuperCiocia | timeline score: 1 | |
Jul 15, 2021 at 16:42 | history | asked | ric.san | CC BY-SA 4.0 |