Timeline for Why are some associated Legendre functions not orthogonal to each other?
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Nov 20, 2019 at 9:17 | vote | accept | toby | ||
Nov 20, 2019 at 6:56 | comment | added | Emilio Pisanty | There is no reason to expect them to be orthogonal - they're solutions of different Sturm-Liouville problems, and there is no direct relation between them. | |
Nov 20, 2019 at 6:50 | history | edited | Qmechanic♦ |
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Nov 20, 2019 at 5:56 | answer | added | Sean E. Lake | timeline score: 2 | |
Nov 20, 2019 at 5:46 | comment | added | Ariana | normally we treat the associated legendre functions as polynomials that satisfies $\int_{-1}^1P^m_aP^m_b=C(m,a)\delta_{a,b}$ | |
Nov 20, 2019 at 5:45 | comment | added | G. Smith | You are expecting an orthogonality relation that doesn’t hold. See en.wikipedia.org/wiki/… for the two relations that do hold. See how the two functions have to have the same $l$ or the same $m$? | |
Nov 20, 2019 at 5:40 | review | First posts | |||
Nov 20, 2019 at 7:21 | |||||
Nov 20, 2019 at 5:39 | history | asked | toby | CC BY-SA 4.0 |