as known to all, we can find a matrix representation for every operator in quantum mechanics.(adsbygoogle = window.adsbygoogle || []).push({});

for example for total angular momentum of one particle j(square) the elements are j(j+1)(square)h(bar) δmm'

However I have stucked in two particle systems.

for example I could not find the matrix of j1+j2- (this is a product) here j1+ is the raising operator for first particle and j2- is the lowering operator for second one.

normally for one particle raising angular momentum operator gives the eigen value (squareroot)[j(j+1)-m(m+1)].

but in this case as far as i know, i have to find the matrix representration of product of this two operator. but for the below conditions I could not create a matrix.

lets say j1=2 j2=1 and the restriction is m= m1 +m2 = 2. that is m1 can take values 2,1 and coresponding m2 values are 0 and 1.

can you help me about this?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Matrix of angular momentum operator

**Physics Forums | Science Articles, Homework Help, Discussion**