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I need raising and lowering operators for l=3 (so it should be 7 dimensional ).

is it enough to use this formula:

(J±)|j, m > =sqrt(j(j + 1) - m(m ± 1))|j, m ± 1 >

The main problem is about calculating lx=2 for a given wave function , I know L^2 and Lz but I need L+ and L- to solve the problem.

Thanks in advance

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# A What are L+ and L- matrices for l=3 ?

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