Le mercredi 5 janvier 2022 à 08:27:56 UTC+1, Eric Gourgoulhon a écrit : > > Actually, the difference between the two results is essentially due to a > different convention in the Condon-Shortley phase > (cf. > https://en.wikipedia.org/wiki/Spherical_harmonics#Condon%E2%80%93Shortley_phase > ), > which makes Sage's spherical harmonics Y_l^m differ from Wikipedia and > Mathematica ones by a factor (-1)^m. > The other difference in the above example is a lack of simplification of > sqrt(sin(theta)^2). > > I would vote for including the Condon-Shortley phase in Sage's spherical > harmonics, since this is standard in quantum mechanics and this would make > Sage agree with Wikipedia and Mathematica. >
I've opened https://trac.sagemath.org/ticket/33117 for this. In doing so, I've noticed that current Sage's spherical harmonics disagree with SymPy as well. I've also found a very serious bug in the computation of derivatives of spherical harmonics (see the ticket for details). This has not been seen earlier probably because before https://trac.sagemath.org/ticket/25034 (merged in Sage 9.3), spherical harmonics were basically not usable in Sage. Eric. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/3772782b-8f69-4904-9770-ceb427249414n%40googlegroups.com.
