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Does this mean for stationary states, where <p>=0, the uncertainty can be zero? ie we can precisely measure the position and energy?

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- Thread starter kehler
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- #1

- 104

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Does this mean for stationary states, where <p>=0, the uncertainty can be zero? ie we can precisely measure the position and energy?

- #2

olgranpappy

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Does this mean for stationary states, where <p>=0, the uncertainty can be zero? ie we can precisely measure the position and energy?

So, in a stationary state <delta H>=0. You thus already know the energy exactly. But, unless the position eigenstate is also a stationary state then when you measure the position you collapse to a different state, an give up info about the momentum. Thus, because most hamiltonians include a kinetic term, it would seem like you can not measure both exactly. But, for certain cooked up systems maybe you can.

You should probably explain more about the particular problem/system you have in mind. Give us a few equations as well that further explain your idea. This will help us come to a reasonable answer.

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Matterwave

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