Abstract
The relation C ∗ C C ∗ − C ∗ = C C ∗ 2 {C^ \ast }C{C^ \ast } - {C^ \ast } = C{C^{ \ast 2}} involving a closed densely defined operator C generalizes both the canonical commutation relation of bosons and the canonical anticommutation relation of fermions. It is shown that the operators satisfying this relation can be classified by an index p , p = 0 , 1 , 2 , … , ∞ p,p = 0,1,2, \ldots ,\infty .
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