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by Ciro Santilli (@cirosantilli, 37)

Abelian an non abelian anyons

 ... Relativistic quantum mechanics Dirac equation Spin (physics) Pauli exclusion principle Fermions, bosons and anyons Anyon
 0 By others on same topic  0 Discussions  Updated 2025-05-09  +Created 1970-01-01  See my version
  • Table of contents
    • Abelian anyon Abelian an non abelian anyons
    • Non Abelian anyon Abelian an non abelian anyons

Abelian anyon

 0  0 
Abelian an non abelian anyons
On particle exchange:
ψ=eθiψ
(1)
so it is a generalization of bosons and fermions which have θ=0 and θ=π respectively.
Key physical experiment: fractional quantum Hall effect.

Non Abelian anyon

 0  0 
Abelian an non abelian anyons
Exotic and hard to find experimentally.
Video 1.
Topological quantum computation by Jason Alicea (2021)
Source.

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