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Why do Galilean transformations change both states and operators?

When a Galilean transformation on a quantum system is performed, the states and the operators change: $$|\phi\rangle \rightarrow |\phi\rangle'$$ $$\hat A \rightarrow \hat A'$$ I don't understand the ...
SimoBartz's user avatar
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2 votes
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Principle of relativity and Galileo's group

A doubt has arisen for me about the principle of relativity, and being such a fundamental subject I think it only fair to try and clarify it. The following line of reasoning was presented to me in a ...
Bml's user avatar
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2 votes
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Why did Feynman tell "we cannot locate earth's angular position, but we can tell that it is changing"?

I was reading "Symmetry in physics" by Feynman, where he wrote: If we perform sufficiently delicate experiments, we can tell that the earth is rotating, but not that it had rotated. In other words, ...
user avatar
2 votes
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443 views

Question about Origins in Galilean transformation

I'm just learning about relativity, and every equation I see for a galilean transformation of frame $S'$ (moving with uniform velocity in the $x$-direction with respect to frame $S$) is $x'=x-vt$, $y'=...
user153582's user avatar
1 vote
1 answer
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Principle of Relativity and the invariance of Newton's law in IRFs

Newton's law are form invariant under the coordinate substitutions: $$ \tilde{x^{i}}=x^{i}+a^{i} $$ This means that Newtons' equation of motion, $$ F^{i}=m \frac{d^{2} x^{i}}{d t^{2}} $$ (where $i=1,2,...
HRTninja's user avatar
1 vote
0 answers
142 views

Assumptions in Galilean and Relativistic Frame Transformation

While deriving the frame transformation equations, either the Galilean Transformation or Lorentz transformation. I have seen almost all authors mentioning/assuming that if an inertial frame $\textbf{S}...
Gaurang Agrawal's user avatar
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Galilean transformation vs boost matrices

I'm confused about the difference between a Galilean transformation and boost with reference to their matrices. I was given four statements (listed below) but I'm not sure what I should be looking for ...
rose's user avatar
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