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Majorana particle : ウィキペディア英語版
Majorana fermion

A Majorana fermion (〔, uploaded 19 April 2013, retrieved 5 October 2014; and also based on the physicist's name's pronunciation.〕), also referred to as a Majorana particle, is a fermion that is its own antiparticle. They were hypothesized by Ettore Majorana in 1937. The term is sometimes used in opposition to a Dirac fermion, which describes fermions that are not their own antiparticles.
All of the Standard Model fermions except the neutrino behave as Dirac fermions at low energy (after electroweak symmetry breaking), but the (massive) nature of the neutrino is not settled and it may be either Dirac or Majorana. In condensed matter physics, Majorana fermions exist as quasiparticle excitations in superconductors and can be used to form Majorana bound states governed by non-abelian statistics.
== Theory ==

The concept goes back to Majorana's suggestion in 1937〔 Translated from: 〕 that neutral spin-1/2 particles can be described by a real wave equation (the Majorana equation), and would therefore be identical to their antiparticle (because the wave functions of particle and antiparticle are related by complex conjugation).
The difference between Majorana fermions and Dirac fermions can be expressed mathematically in terms of the creation and annihilation operators of second quantization. The creation operator \gamma^_j creates a fermion in quantum state j (described by a ''real'' wave function), whereas the annihilation operator \gamma_j annihilates it (or, equivalently, creates the corresponding antiparticle). For a Dirac fermion the operators \gamma^_j and \gamma_j are distinct, whereas for a Majorana fermion they are identical.
In supersymmetry models, neutralinos--superpartners of gauge bosons and Higgs bosons--are Majorana.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Majorana fermion」の詳細全文を読む



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