The Number Operator for Generalized Quons
Miroslav Doresic
TL;DR
This paper develops a number operator for particles with infinite statistics using a generalized q-deformed algebra, ensuring the positivity of the state vector norms.
Contribution
It introduces a new number operator for generalized q-deformed infinite statistics and proves the positivity of the associated state norms.
Findings
Number operator constructed for generalized q-deformed infinite statistics.
Proof of positivity of the norm of state vectors.
Extension of algebraic framework for infinite statistics.
Abstract
We construct the number operator for particles obeying infinite statistics, defined by a generalized q-deformation of the Heisenberg algebra, and prove the positivity of the norm of linearly independent state vectors.
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