Intermediate symmetric construction of transformation between anyon and Gentile statistics
10 Mar 2020
•
Shen Yao
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, we give the general construction of transformation between
anyon and Gentile statistics. In other words, we introduce the second
quantization form of anyons in a easy way. Basic relations of second
quantization operators, the coherent state and Berry phase are also discussed.(read more)