Re: angular momentum raising lowering ladder operators


corpsicle Wrote:
hello,

are there any angular momentum operators for, say, a hydrogen atom,
that raise and lower the angular quantum number l (ell) up and down,
as opposed to the Lx + iLy type operators that move the magnetic
quantum number m, "sideways" as it were but leave l unchanged?
so what i guess i'm asking is there some kind of differential
equation that generates the l+1'th spherical harmonic from the l'th,
or, or, something!
There is a recursion relation giving P_L+1 in terms of P_L and P_L-1.
That would act as a step operator for Y^L_0.
Then the Lx+iLY could be used.




--
Meir Achuz

.

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