Calculating Vacuum Polarization Effect on Hydrogen Atom

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Discussion Overview

The discussion centers on the calculation of vacuum polarization effects on the hydrogen atom, specifically seeking papers or formulas that provide a clear method for determining the distribution of positive and negative vacuum charges. The scope includes theoretical aspects of quantum electrodynamics and its implications for atomic physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Several participants request papers that provide a formula for calculating the distribution of vacuum polarization charges in a hydrogen atom, indicating a lack of accessible resources.
  • One participant expresses a personal interest in the connection between gravitation and electromagnetic fields, suggesting that their exploration has not yielded concrete results relevant to the original query.
  • Another participant mentions a modified vacuum polarization tensor related to the Coulomb field of a nucleus but seeks additional references for comparison.
  • A participant notes that while vacuum polarization effects on the Lamb shift are documented in literature, the specific distribution of vacuum charges cannot be computed in a straightforward manner.
  • One participant claims to possess a book that computes the distribution of vacuum polarization charges, stating that the effect is minimal even for heavy atoms like lead.

Areas of Agreement / Disagreement

Participants generally agree on the difficulty of finding specific resources or formulas for vacuum polarization effects in hydrogen. However, there is no consensus on the feasibility of calculating the distribution of vacuum charges, with differing opinions on the availability of literature and the complexity of the topic.

Contextual Notes

Some participants express uncertainty about the validity of their approaches and the complexity of the theoretical framework surrounding vacuum polarization, indicating potential limitations in their understanding or the existing literature.

Kruger
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Can somebody give me a paper where the effect of vacuum polarization is calculated for a hydrogen atom? I mean where there is a real formula to calculate "immediately" the distribution of the positive vacuum charge and negative.

I didn't find something useable about this.

Thanks for everyone who can help.
 
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Kruger said:
Can somebody give me a paper where the effect of vacuum polarization is calculated for a hydrogen atom? I mean where there is a real formula to calculate "immediately" the distribution of the positive vacuum charge and negative.
I didn't find something useable about this.
Thanks for everyone who can help.

Although 1) it seems to be a passionating item, 2) I have been myself beginning my learning initiation in physics with this kind of ideas and I have spent a lot of time in investigating this way 3) I have found (At least I believe it, but I got until this day no feed-back to confirm of conversely critic my approach) a strange connection between gravitation and EM fields, I must have the fair play to say that this promising approach didn't yield until now any concrete result in the direction you want to explore; so, I am sorry, you get no help from me. But I wish you good luck
 
Ah, otherwise, if this way of thinking is really the way to explain all particles (with or without charge, color, ...) it must be a technically very difficult one; quite over my head. It implicitly implies to understand vacuum (vaccuo: energetic states) as a or with the vision of a perfect energetic fluid. Although this representation is not totally in contradiction with some recent results obtained at the Fermi Lab, it seems to be a hard discussed subject and not a place for peaceful investigations. So, as amateur, I cann't help here.
 
I know how we can derive the whole thing but I don't understand this formula. Its a kind of a modified vacuum polarzation tensor applied to coulomb field of a nucleus.

So I want to have another reference where I can compare the result optained in my book and obtained elsewhere.
 
Kruger said:
Can somebody give me a paper where the effect of vacuum polarization is calculated for a hydrogen atom? I mean where there is a real formula to calculate "immediately" the distribution of the positive vacuum charge and negative.
I didn't find something useable about this.
Thanks for everyone who can help.


There are books where the calculation of vacuum polarization effects to Lamb shift is computed. While "the distribution of the positive vacuum charge and negative" can't really be computed.

Daniel.
 
Well I have a book at home where this distribution is computed. The whole of a positively charged particle induced vacuum polarisation charge is very tiny even for a Pb-atom.
 

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