On Wed, Jan 05, 2022 at 12:14:23AM -0800, Eric Gourgoulhon wrote:
> The other difference in the above example is a lack of simplification of 
> sqrt(sin(theta)^2). 

I think this problem is worse than "just" a lack of simplification:
if sin(theta) < 0 then sqrt(sin(theta)^2 != sin(theta), i.e., the
theta dependence is wrong, not "just" not-fully-simplified.

Should we have another ticket this?


Eric also wrote:
> 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.
[[...]]
> 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. 

+1 on this.


> I've opened 
> https://trac.sagemath.org/ticket/33117
> for this. 

--
-- "Jonathan Thornburg [remove color- to reply]" <jthorn4...@pink-gmail.com>
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