I read the solution for spherical harmonic using associated Legendre polynomials, and am wondering....(adsbygoogle = window.adsbygoogle || []).push({});

For example, a solution is written in here, but I wonder why the constant in forumula (3) can be determined as [tex]-m^2[/tex], as a negative value of square of an integer.

Similar thing applies to the [tex]r[/tex] variable (in the above page it doesn't appear, though),

[tex]{r(\frac {\partial^2} {{\partial r}^2})(rR(r))} / {R(r)} = l(l+1)[/tex]

Here, I can understand this should be a constant, but cannot understand why it's a form of [tex]l(l+1)[/tex] where [tex]l[/tex] is an integer....

Will anyone tell me??

Thanks in advance!

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# Q on solution of Spherical Harmonic

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