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

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1. Jan 9, 2017

### niloun

Hi everyone
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.

Last edited: Jan 9, 2017
2. Jan 9, 2017

### Staff: Mentor

Yes, you can use that formula. Matrix elements for an operator $\hat{A}$ are simply given by
$$A_{ij} = \langle i | \hat{A} | j \rangle$$