Extending the cooper minimal pair theorem
β Scribed by Zaiyue Zhang
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 666 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1000-9000
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## Abstract Let ${\cal F}$ be a __k__βuniform hypergraph on __n__ vertices. Suppose that $|F\_{1}\cap \cdots \cap F\_{r}|\ge t$ holds for all $F\_{1},\ldots ,F\_{r}\in {\cal F}$. We prove that the size of ${\cal F}$ is at most ${{n-t}\choose {k-t}}$ if $p= {k \over n}$ satisfies and __n__ is suffi
The analysis of trilinear commutation relations for the Cooper pair operators reveals that they correspond to the modified parafermi statistics of rank p = 1. Two different expressions for the Cooper pair number operator are presented. We demonstrate that the calculations with a Hamiltonian expresse