Equivalence of the Grand Canonical Partition Functions of Particles with Different Statistics
Subhash Chandra Chaturvedi, Prasanta Kumar Panigrahi, Venkatraman Srinivasan, R. MacKenzie · Modern Physics Letters A · 1997
It is shown that the grand partition function of an ideal Bose system with single particle spectrum εi=(2n+k+3/2)ℏω is identical to that of a system of particles with single particle energy εi=(n+1/2)ℏω and obeying a particular kind of statistics based on the permutation group.