Uncertainty Principle in term of Angular Momentum

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The discussion focuses on proving the uncertainty principle in terms of angular momentum, specifically the relationship delta L * delta theta = hbar/2. The user initially expresses uncertainty about how to proceed with the proof, considering the equations for angular momentum (L = m*v*r) and angular position (theta = x/r). However, they later indicate that they have figured it out. The conversation highlights the connection between angular momentum and angular position uncertainties in quantum mechanics. Overall, the uncertainty principle's formulation in this context is clarified through the user's thought process.
Geronimo85
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I need to prove that the uncertainty principle can be expressed in the form

delta L * delta theta = hbar/2

where delta L is the uncertainty of the angular momentum and delta theta is the uncertainty in angular position.

I know that L = m*v*r and I think I can express theta as x/r. But I really don't know where to go on this.
 
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Nevermind, I've got it. I'm a bit slow on the uptake today
 
(a) The polarisation pattern is elliptical with maximum (1,1) and minimum (-1,-1), and anticlockwise in direction. (b) I know the solution is a quarter-wave plate oriented π/4, and half-wave plate at π/16, but don't understand how to reach there. I've obtained the polarisation vector (cos π/8, isin π/8) so far. I can't find much online guidance or textbook material working through this topic, so I'd appreciate any help I can get. Also, if anyone could let me know where I can get more...

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