Uncertainty Principle and angular position

[getcarter]

Verify that the uncertainty principle can be expressed in the form [PLAIN]http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw73.gif,[/URL] where [PLAIN]http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw74.gifis[/URL] the uncertainty in the angular momentum of a particle, and http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw75.gif is the uncertainty in its angular position. (You may think of a particle, mass m, moving in a circle of fixed radius r, with speed v)

b) At what uncertainty in L will the angular position of a particle become completely indeterminate?

 

[berkeman]

Verify that the uncertainty principle can be expressed in the form [PLAIN]http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw73.gif,[/URL] where [PLAIN]http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw74.gifis[/URL] the uncertainty in the angular momentum of a particle, and http://www.colorado.edu/physics/phys2170/phys2170_spring96/hws/2170_hw75.gif is the uncertainty in its angular position. (You may think of a particle, mass m, moving in a circle of fixed radius r, with speed v)

b) At what uncertainty in L will the angular position of a particle become completely indeterminate?

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[Pacopag]

is there a theta operator?