i need the answer quickly Transcribed Image Text: Adding angular moments: the wave function

i need the answer quickly Transcribed Image Text: Adding angular moments: the wave function
of the system
3
(a) Consider two particles without spin that interact with a central potential
V (r). Both particles are in the same state of orbital angular momentum and
the corresponding quantum numbers are j = j2 = 1. After performing the
sum of angular moments, it is found that some of the states of the coupled
base written in terms of the elements of the uncoupled base are:
|2, 2) = |1, 1; 1, 1)
1
|2,0) :
[1, 1; 1, -1) + 2|1, 1; 0, 0) + |1, 1; -1, 1)]
9/
|1, –1) =
[[1, 1;0, -1) – |1, 1; –1,0)]
V2
Write the corresponding wave functions in the spherical coordinate space,
that is, explicitly write (ri, rlj, m).
Hint: Remember that the solutions of the Schrodinger equation for any
central potential are of the form Uk.i,m(r,0, ) = Rk.1(r)Yi,m(0, 4).

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