Virtual particles

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Sterj
[SOLVED] virtual particles

If there is createn a virtual pair (anti particle A and its particle B) in vacuum what are they doing in their life time? Is A always at the same position like B or how can they annihilate? And if they annihilate, what's with the energy (does it disappear)? Has the anti particle negativ energy?

I hope you can answer this questions :smile:
 

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  • #2
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No. Due to a manifestation of the canonical commutation relations, we have

[tex]\Delta E \Delta t \ge \frac{h}{4\pi}[/tex]

which means that in an ever decreasing short amount of time, the uncertainty of the energy increases. If [itex]\Delta t[/itex] is small enough, then [itex]\Delta E[/tex] can be big enough for there to be enough energy for a particle-antiparticle pair to be created. Of course, this means that those two particles have to annihilate with each other before [itex]\Delta t[/itex] is over, or if an external source of energy is given to the vacuum to make up for the [itex]\Delta E[/itex], then the two created particles can live on. The two particles won't generally be in the same position during their lifetimes.
 
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  • #3
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Sterj said:
If there is createn a virtual pair (anti particle A and its particle B) in vacuum what are they doing in their life time? Is A always at the same position like B or how can they annihilate?
A virtual particle transfers a definite momentum p, so due to HUP it is everywhere.

And if they annihilate, what's with the energy (does it disappear)?
No, another virtual pair is produced

Has the anti particle negativ energy?

I hope you can answer this questions :smile:
Yes

i urge you to read my journal. I have written several entries on this topic. Check it out
https://www.physicsforums.com/journal.php?s=&action=view&journalid=13790&perpage=10&page=2 [Broken]

Look at the bottom of the page
regards
marlon
 
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  • #4
Sterj
"No, another virtual pair is produced"

That would mean, that the "same" energy is always there?
 
  • #5
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Sterj said:
"No, another virtual pair is produced"

That would mean, that the "same" energy is always there?
Ofcourse, that is the vacuum energy. It is because this energy is non-zero that them vaccuum fluctuations and virtual particles exist in the first place

I am sure i have told this before...

marlon
 
  • #6
Sterj
But if the same energy is alway there, it takes the energy "sentense" in danger (E1=E2).
 

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