"Angular momentum 1" px(f) = -i hbar d(f,x) py(f) = -i hbar d(f,y) pz(f) = -i hbar d(f,z) Lx(f) = y pz(f) - z py(f) Ly(f) = z px(f) - x pz(f) Lz(f) = x py(f) - y px(f) LL(f) = Lx(Lx(f)) + Ly(Ly(f)) + Lz(Lz(f)) "Verify commutation relations" W = psi(x,y,z,t) check(Lx(Ly(W)) - Ly(Lx(W)) == i hbar Lz(W)) check(Ly(Lz(W)) - Lz(Ly(W)) == i hbar Lx(W)) check(Lz(Lx(W)) - Lx(Lz(W)) == i hbar Ly(W)) check(Lx(LL(W)) - LL(Lx(W)) == 0) check(Ly(LL(W)) - LL(Ly(W)) == 0) check(Lz(LL(W)) - LL(Lz(W)) == 0) "ok" Run