We introduce the (q, 2)−Fock space over a given Hilbert space, calculate the explicit form of a product of the creation and annihilation operators acting on the vacuum vector, demonstrate that this explicit form involves a specific subset of the set of all pair partitions, and provide a detailed characterization of this subset.
Some combinatorial aspects of (q, 2)−Fock space
Yungang Lu
2024-01-01
Abstract
We introduce the (q, 2)−Fock space over a given Hilbert space, calculate the explicit form of a product of the creation and annihilation operators acting on the vacuum vector, demonstrate that this explicit form involves a specific subset of the set of all pair partitions, and provide a detailed characterization of this subset.File in questo prodotto:
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