McLaren Rulez
Hi,

This may seem like a silly question but if we have an operator of the form $aX+bP$ where a and b are some numbers and X and P are the position and momentum operators, doesn't this violate the uncertainty principle. Isn't it sort of measuring position and momentum simulataneously?

I recently came across quadrature operators where $a=cos\theta$ and $b=sin\theta$. So how is this consistent with the uncertainty principle?

Thank you.