q-Fermionic Numbers and Their Roles in Some Physical Problems

Details q-Fermionic Numbers and Their Roles in Some Physical Problems q-Fermionic Numbers and Their Roles in Some Physical Problems

2004-03-30

arxiv.org/abs/quant-ph/0403216v1

Physics

Quantum Physics

Latex, 14 pages, to appear in Phys.Lett.A

Scientific paper

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.

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