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In this paper, we study the diagrammatic categorification of the fermion algebra. We construct a graphical category corresponding to the one-dimensional (1D) 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 exnetlv with those in normal quantum mechanics. 相似文献
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In this paper a set of generalized descent equations are proposed. The solutions to those descent equations labeled by r for any r(r ≥ 2, r ∈ N) are forms of degrees varying from 0 to(2r-1). And the case of r = 2 is mainly discussed. 相似文献
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