Question

Do the uncertainty relations taken together imply that there are restrictions on the simultaneous measurement of position and time?

Answer 1

Uncertainty relation between position and momentum is given by

This relation implies that we cannot measure position and momentum simultaneously accurately. If we measure the position ( x) accurately , then the minimum  uncertainty in measurement of position will be  .

So there is restriction that , that we can not measure simultaneously both position and momentum accurately. There will be inaccuracy of one variable if other is measured with accuracy for quantum particle.