What is mean by an elementary particle ?

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Discussion Overview

The discussion revolves around the definition of "elementary particles" in the context of physics, exploring various interpretations and frameworks such as Quantum Field Theory and the implications of different equations like the Maxwell and Klein-Gordon equations. Participants question whether a universal definition exists and how different particles, such as photons and electrons, fit into these definitions.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant questions whether a photon can be defined as a wave function solution of the Maxwell Equation and an electron as a wave function solution of the Klein-Gordon equation.
  • Another participant argues that applying the Klein-Gordon equation to electrons leads to erroneous results, as it is only valid for spin 0 particles, suggesting a more complex definition involving the covering group of the Poincaré group.
  • A different viewpoint suggests that Quantum Field Theory categorizes particles into fermions and bosons, and emphasizes the need for a precise meaning of particles before applying QFT.
  • One participant asserts that an elementary particle is defined as one without inner substructure, contrasting protons, which are made of quarks, with electrons, which are considered elementary.

Areas of Agreement / Disagreement

Participants express differing views on the definition of elementary particles, with no consensus reached on a universal definition. Some participants emphasize the lack of a single definition, while others propose specific criteria for what constitutes an elementary particle.

Contextual Notes

The discussion highlights limitations in definitions and assumptions regarding particle classifications, particularly in relation to the applicability of certain equations to different types of particles.

bchui
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What is mean by an "elementary particle"?

I have always been intriguing about the definition of an "elementary paticle". Can we actually "define" a photon as a wave function $\psi(r,t)$ solution of the Maxwell Equation and "define" an electron as a wave function solution of the Klein-Gordan equation and so on?:confused:
How about the "definition" of photons and neutrons and the others? :confused:
 
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bchui said:
I have always been intriguing about the definition of an "elementary paticle". Can we actually "define" a photon as a wave function $\psi(r,t)$ solution of the Maxwell Equation and "define" an electron as a wave function solution of the Klein-Gordan equation and so on?:confused:
How about the "definition" of photons and neutrons and the others? :confused:

Applying KG equation to the electron leads to erroneous results, as the KG equation is valid only for a field associated to a spin 0 particle.
There's no universal definition to an "elementary particle". I like the one which involves the covering group of the Poicare' group and its irreducible representations.
 
So, how about Quantum Field Theory which tells us particles can be divided into Ferminions and Bosons. Should we actually take a wave function $\psi(r,t)$ as a particle for different $(r,t)$? There must be a precise meaning before we work out QFT:smile:
 
No Universal Definition to elementary particle? I must have learned physics differently because I always thought that an elementary particle was one which has no inner-substructure. A proton is made up of quarks, so it isn't elementary. An electron is a lepton, made up of nothing else, so it is elementary.

Btw: On PF you use [ tex ] and [ /tex ] tags after our math code (without the spaces).

\psi (r,t)
 
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