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Virtual particles

  1. Feb 19, 2005 #1
    [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:
     
  2. jcsd
  3. Feb 19, 2005 #2
    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.
     
    Last edited: Feb 20, 2005
  4. Mar 2, 2005 #3
    A virtual particle transfers a definite momentum p, so due to HUP it is everywhere.

    No, another virtual pair is produced

    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

    Look at the bottom of the page
    regards
    marlon
     
    Last edited: Mar 2, 2005
  5. Mar 4, 2005 #4
    "No, another virtual pair is produced"

    That would mean, that the "same" energy is always there?
     
  6. Mar 4, 2005 #5
    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
     
  7. Mar 5, 2005 #6
    But if the same energy is alway there, it takes the energy "sentense" in danger (E1=E2).
     
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