I Virtual Photons: The Long-Distance Repulsion of Electrons

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The discussion centers on the concept of virtual photons mediating the electromagnetic repulsion between electrons, even over vast distances like from the sun to Earth. It raises the question of whether virtual photons can be detected or recorded, given their transient nature. Participants clarify that virtual photons are not real entities and cannot be absorbed or recorded, as they exist only in theoretical calculations. The electromagnetic interaction is acknowledged to have infinite range, but the nature of virtual particles means they do not persist long enough to be observed. Overall, the consensus emphasizes the theoretical framework of virtual particles rather than their physical existence.
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My understanding is that the repulsion between two electrons is mediated by the exchange of virtual photons – virtual meaning not lasting long enough to be detected. But suppose one of the electrons is in the sun and the other on Earth. There should still be a repulsion because the electromagnetic interaction has infinite range. Do the virtual photons last 8 minutes? If a photographic plate is placed between the two electrons, will the virtual photons be absorbed and recorded? Or, will they still reach the other electron to complete the exchange?
 
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For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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