By adding two angular momentum the quantum number of angular momentum magnitude total j satisfies that: |j1 j2| ≤ j≤ j1
Posted: Wed May 25, 2022 7:26 am
By adding two angular momentum the quantum number of angular momentum magnitude total j satisfies that: |j1 j2| ≤ j≤ j1 + j2. In class we prove the upper bound by arguing that jmax = mmax = m1max + m2max = j1 + j2. Show that j1j2| ≤j so that the number of elements in the bases {j1 j2 jm)} and {[j1 m1 j2 m2)} is the same. Note: you can use that j≤j1 +j2.