A diagrammatic categorification of the fermion algebra

Autor:	Lin, Bing-Sheng, Wang, Zhi-Xi, Wu, Ke, Yang, Zi-Feng
Rok vydání:	2013
Předmět:	Mathematical Physics Mathematics - Quantum Algebra
Zdroj:	Chin. Phys. B, 22(10): 100201 (2013)
Druh dokumentu:	Working Paper
DOI:	10.1088/1674-1056/22/10/100201
Popis:	In this paper, we study the diagrammatic categorification of the fermion algebra. We construct a graphical category corresponding to the one-dimensional fermion algebra, and we investigate the properties of this category. The categorical analogues of the Fock states are some kind of 1-morphisms in our category, and the dimension of the vector space of 2-morphisms is exactly the inner product of the corresponding Fock states. All the results in our categorical framework coincide exactly with those in normal quantum mechanics. Comment: 10 pages, many TikZ figures. To appear in Chin. Phys. B
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.4522 Zobrazit plný text záznamu View this record from Arxiv