Uncertainty relation derivation

[Somali_Physicist]

Hey guys , my lecturer introduced a new concept with reference to the commutation of two operators.He claimed that if two commutators commute then they can be simultaneously measured.I can clearly see how this works.He then went on and state if they don't commute they can't simultaneously be measured.However he went further and claimed if they cannot commute then the uncertainty relation between the operators values is:

2ΔqΔs ≥ abs(<[Q^{^},S^{^}]>)

Does anyone have a derivation for this bizaare relation.

Finally , if we measure the y momentum of an object , can we also meausre the x and z position?

 

[Nugatory]

Here you go: http://www.reed.edu/physics/courses/P342.S10/Physics342/page1/files/Lecture.20.pdf