إحصاء الضفائر

في الرياضيات والفيزياء النظرية، إحصاء الضفائر braid statistics هو تعميم of the spin statistics of bosons and fermions based on the concept of braid group. While for fermions (Bosons) the corresponding statistics is associated to a phase gain of () under the exchange of identical particles, a particle with braid statistics leads to a rational fraction of under such exchange [1][2] or even a non-trivial unitary transformation in the Hilbert space (see non-Abelian anyons). A similar notion exists using a loop braid group.

Braid statistics are applicable to theoretical particles such as the two-dimensional anyons and their higher-dimensional analogues known as plektons.

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انظر أيضاً


المراجع

  1. ^ Leinaas, J. M.; Myrheim, J. (1977-01-01). "On the theory of identical particles". Il Nuovo Cimento B (in الإنجليزية). 37 (1): 1–23. Bibcode:1977NCimB..37....1L. doi:10.1007/BF02727953. ISSN 1826-9877. S2CID 117277704.
  2. ^ Wilczek, Frank (1982-10-04). "Quantum Mechanics of Fractional-Spin Particles". Physical Review Letters. 49 (14): 957–959. Bibcode:1982PhRvL..49..957W. doi:10.1103/PhysRevLett.49.957.


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