A statistics which is use to study the system of identical and distinguishable particles is known as?
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Explanation:
There is another type of statistic, known as braid statistics, which are associated with particles known as plektons. The spin-statistics theorem relates the exchange symmetry of identical particles to their spin. It states that bosons have integer spin, and fermions have half-integer spin.
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Braid Statistics
- Braid Statistics is a generalization 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 pi under such exchange 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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