Gentile statistics describes fractional statistical systems in the occupation number representation. Anyon statistics researches those systems in the winding number representation. Both of them are intermediate statistics between Bose–Einstein and Fermi–Dirac statistics. The second quantization of Gentile statistics shows a lot of advantages. According to the symmetry requirement of the wave function and the property of braiding, we give the general construction of transformation between anyon and Gentile statistics. In other words, we introduce the second quantization form of anyons in an easier way. This construction is a correspondence between two fractional statistics and gives a new description of anyon. Basic relations of second quantization operators, the coherent state and Berry phase are also discussed.

Gentile 统计描述了职业数字表示中的分数统计系统。Anyon 统计研究绕组数表示中的那些系统。它们都是介于 Bose-Einstein 和 Fermi-Dirac 统计之间的中间统计。Gentile 统计的二次量化显示了很多优点。根据波函数的对称性要求和编织的性质，我们给出了任意子和Gentile统计之间变换的一般构造。换句话说，我们以更简单的方式介绍了任意子的第二种量化形式。这种构造是两个分数统计之间的对应关系，并给出了对任意子的新描述。还讨论了第二量化算子、相干状态和Berry相位的基本关系。