Electromagnetic field( though could be any field) produced by a quantum particle

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Discussion Overview

The discussion revolves around the nature of electromagnetic fields produced by quantum particles, particularly in the context of quantum electrodynamics (QED). Participants explore the implications of probability distributions and the concept of charge distribution in relation to classical electromagnetic fields.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions how the electromagnetic field of a quantum particle can be determined given that only the probability of the particle's location is known.
  • Another participant suggests that the field "averages out," implying a statistical treatment of the field in quantum mechanics.
  • A third participant states that the probability pertains to the field having a certain value, indicating a focus on the probabilistic nature of field measurements.
  • It is proposed that the charge of a quantum particle is "smeared over a large area," which is argued to be the reason why the energy in the field remains finite, contrasting with the infinite energy that would arise from a point particle's field.

Areas of Agreement / Disagreement

Participants express differing views on how to conceptualize the electromagnetic field in the quantum context, with no consensus reached on the implications of these ideas.

Contextual Notes

The discussion highlights potential limitations in understanding the relationship between quantum particles and their associated fields, particularly regarding the assumptions about charge distribution and the implications for energy calculations.

noblec04
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A classical electromagnetic field requires you to know how far away from the source of the field you are, if this requirement is carried over to QED, how is the EM field of a particle known when we only know the probability of this particle being in a certain place?
 
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because it averages out
 
We only know the probability of the field having a certain value.
 
the charge is smeared over a large area.

this is why the energy in the field is finite.

(the energy stored in the field of a point particle would otherwise be infinite)
 

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