q-Fermionic Numbers and Their Roles in Some Physical Problems
arXiv:quant-ph/0403216 · doi:10.1016/j.physleta.2004.03.083
Abstract
The q-fermion numbers emerging from the q-fermion oscillator algebra are used to reproduce the q-fermionic Stirling and Bell numbers. New recurrence relations for the expansion coefficients in the 'anti-normal ordering' of the q-fermion operators are derived. The roles of the q-fermion numbers in q-stochastic point processes and the Bargmann space representation for q-fermion operators are explored.
Latex, 14 pages, to appear in Phys.Lett.A