Some combinatorial aspects of (q,2)-Fock space
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917609885138944 |
|---|---|
| author | Lu, Yungang |
| author_facet | Lu, Yungang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06146 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some combinatorial aspects of (q,2)-Fock space Lu, Yungang Combinatorics Probability 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. |
| title | Some combinatorial aspects of (q,2)-Fock space |
| topic | Combinatorics Probability |
| url | https://arxiv.org/abs/2403.06146 |