Spin, linear momentum and orbital angular momentum

[ad6190]

How to prove when electron spin is perpendicular to linear momentum, orbital angular momentum can't be 0.
And when they are paralleled, orbital angular momentum is 0.
Thanks.

 

[Avodyne]

Your statements are not true. Orbital angular momentum does not depend on spin direction.

 

[Meir Achuz]

How to prove when electron spin is perpendicular to linear momentum, orbital angular momentum can't be 0.
And when they are paralleled, orbital angular momentum is 0.
Thanks.

I think you are talking abput L_z, and not L^2.