Which of these pairs of quantities can possibly be measured simulta- neously and precisely: (a) x-coordinate...

Which of these pairs of quantities can possibly be measured simulta-

neously and precisely:

(a) x-coordinate of position and y-coordinate of position: x, y [4]

(b) x-coordinate of position and momentum in x-direction: x, px [4]

(c) x-coordinate of position and momentum in y-direction: x, py [4]

(d) z-component of angular momentum and total angular momentum squared: Lz, L2 [4]

In the cases where simultaneous measurement is possible, what is the condition on the wavefunction that would have to be satisfied in order for the measurement to be precise.

Expert Solution

The correct option is (b)....

Because, for the simultaneously , they should be follow the canonical conditions like [x, Px] = 1

Since, only option (b) meet the above relationship..

Therefore, answer is...

(b) x-coordinate of position and momentum in x-direction: x, px

genius_generous answered 2 years ago

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