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q-Fermionic Numbers and Their Roles in Some Physical Problems

R. Parthasarathy
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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.

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R. Parthasarathy. 2004-03-30. q-Fermionic Numbers and Their Roles in Some Physical Problems. https://doi.org/10.1016/j.physleta.2004.03.083

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