- #1
Brewer
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Homework Statement
The spherical harmonics [tex]Y^m_l[/tex] with l=1 are given by
[tex]Y^{-1}_1 = \sqrt{\frac{3}{8\pi}}\frac{x-iy}{r}, Y^0_1 = \sqrt{\frac{3}{4\pi}}\frac{z}{r}, Y^1_1 = -\sqrt{\frac{3}{8\pi}}\frac{x+iy}{r}[/tex]
and they are functions of [tex]L^2[/tex] and [tex]L_z[/tex] where L is the angular momentum.
i) From these functions find a new set of three functions [tex]X^m_1[/tex] which are now eigenfunctions of [tex]L^2[/tex] and [tex]L_x[/tex].
Homework Equations
The Attempt at a Solution
I'm not 100% sure about this question. Is it asking me to give the spherical harmonics in terms of [tex]\theta, \phi[/tex]? I think I can do that, but if that's not the question, could someone please explain to me what is being asked of me.
Thanks
Brewer