- #1

daniel444

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- TL;DR Summary
- Which state takes a quantum object after a simultaneous measurement of coordinate and momentum?

Dear friends

please help me, for I am completely confused and can not understand the logical connection between two postulates of quantum mechanics.

One postulate states, that if some observable is being measured, for instance coordinate, then the superposition of many possible states, which correspond possible coordinate values, collapses into one eigenstate of this operator (in our case coordinate)

The other postulate states, that the product of the uncertainties of coordinate and momentum can not be smaller then h/2pi.

So

Me measure coordinate and momentum simultaneously. That means me must get eigenstates of coordinate and momentum operators according to the 1. Postulate. But it is impossible according to the 2. Postulate, because that would mean, that the uncertainties of both coordinate and momentum are equal zero!

Tell me where I am wrong

please help me, for I am completely confused and can not understand the logical connection between two postulates of quantum mechanics.

One postulate states, that if some observable is being measured, for instance coordinate, then the superposition of many possible states, which correspond possible coordinate values, collapses into one eigenstate of this operator (in our case coordinate)

The other postulate states, that the product of the uncertainties of coordinate and momentum can not be smaller then h/2pi.

So

Me measure coordinate and momentum simultaneously. That means me must get eigenstates of coordinate and momentum operators according to the 1. Postulate. But it is impossible according to the 2. Postulate, because that would mean, that the uncertainties of both coordinate and momentum are equal zero!

Tell me where I am wrong