Can (ordo) Fermions convert to Bosons?

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Discussion Overview

The discussion revolves around the potential for fermions to convert into bosons and the implications of such a transformation, particularly in terms of sharing quantum states and compressibility. It explores theoretical aspects of particle interactions and conservation laws, as well as the characteristics of bosonic and fermionic systems.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants inquire whether fermions can convert to bosons, potentially allowing them to share quantum states and become compressible.
  • One participant cites the example of an electron and a positron annihilating to form two photons, suggesting that the system's quantum state is conserved and that photons are compressible.
  • Another participant seeks clarification on the conservation of the quantum state and the meaning of "compressible" in this context.
  • A participant notes that while energy, momentum, and angular momentum are conserved in particle interactions, they express uncertainty about the role of spin or helicity in these considerations.
  • One participant asserts that a single fermion cannot turn into a single boson in a vacuum due to conservation laws, prompting a request for elaboration on these laws.
  • Another participant critiques the term "compressible," suggesting that the ability of bosons to form a Bose-Einstein condensate is a key distinction from fermions.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of fermions converting to bosons and the implications of such transformations. There is no consensus on the specifics of conservation laws or the definitions of compressibility in this context.

Contextual Notes

Participants acknowledge limitations in their understanding of quantum states, particularly regarding spin and helicity, which may affect the clarity of the discussion.

RobbyQ
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TL;DR
Fermions to Bosons
Can Fermions turn into Bosons and thus share the same quantum state and become compressible?

And/Or is the opposite also possible?
 
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An electron and a positron meet and become two photons. The system quantum state is conserved and photons are compressible. The reverse process is possible.
 
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anuttarasammyak said:
An electron and a positron meet and become two photons. The system quantum state is conserved and photons are compressible. The reverse process is possible.
Can you explain what you mean by "(t)he system quantum state is conserved" and in what sense "photons are compressible"?
 
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At least energy, momentum, angular momentum of the system is conserved. I hesitate to refer spin or helicity or other pure quantum states due to my poor understanding.
We can change volume of photon gas. On the other hand, I hesitate to say that electron gas is incompressible.
 
RobbyQ said:
TL;DR: Fermions to Bosons

Can Fermions turn into Bosons and thus share the same quantum state and become compressible?

And/Or is the opposite also possible?
A single fermion in vacuum cannot turn into a single boson in vacuum due to conservation laws (can you tell which?). If you want to consider more than one particle please develop.
 
RobbyQ said:
share the same quantum state and become compressible?
"Compressible" is a poor term. The key thing that a system of bosons can do that a system of fermions can't is to form a Bose-Einstein condensate.
 

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