- #1
Apashanka
- 429
- 15
- TL;DR Summary
- ##[L^2,L_i]=0##.....where ##i=x,y,z##
For a given state say ##{l,m_l}## where ##l## is the orbital angular momentum quantum no. and ##m_l## be it's ##z## component...a given state ##|l,m_l> ## is an eigenstate of ##L^2## but not an eigenstate of ##L_x##...therefore all eigenstates of ##L_x## are eigenstates of ##L^2## but the reverse is not true... isn't it??