Angular momentum III Eigenfunctions Using Operator Algebra
2004
In Chapter 13 we had shown that we can have a set of simultaneous eigenkets of the operators J2 and Jz:
$$ J^2 \left| {\left. {j,m} \right\rangle = j\left( {j + 1} \right)\hbar ^2 } \right|\left. {j,m} \right\rangle $$
(1)
$$ J_z \left| {\left. {j,m} \right\rangle = m\hbar ^2 } \right|\left. {j,m} \right\rangle $$
(2)
where
$$ j = 0,\quad \frac{1} {2},\quad 1,\quad \frac{3} {2},\quad 2,\quad \frac{5} {2}, \ldots $$
(3)
and
$$ m = - j, - j + 1, \ldots ,j $$
(4)
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
0
References
0
Citations
NaN
KQI