New answers tagged thought-experiment
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Accepted
Is the uncertainty principle a consequence of classical reference frame?
No. You have introduced ancilla observables $X$ and $P$ in your scheme in addition to your system variables $x$ and $p$. Your system variables $x$ and $p$ are still complementary and in fact the ...
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2
votes
Is the uncertainty principle a consequence of classical reference frame?
Partial answer:
Your assumptions confuse me and might be the problem. The box has momentum, i.e. it is part of the Hamiltonian. Yet, if it is and can constrain the particle, it must interact with the ...
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2
votes
Is the uncertainty principle a consequence of classical reference frame?
No, relative commutator of $[x-X,p+P]$ does not commute.
To see this you need to compute it, namely by expressing full operators
$$ \tag 1 \left[ x-X,~ -i\hbar\frac{\partial}{\partial x}-i\hbar \frac{\...
3
votes
Is the uncertainty principle a consequence of classical reference frame?
The answer might be "No"
Every times we consider the variables as X of bos or x of particle could not be the generator of spatial translations.The reason why is that each observable physical ...
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