%0 Journal Article
%T Spectral decomposition of an elementary 3-fermion 2-body operator
%A Hubert Grudzinski
%A Jacek Hirsch
%J Mathematics
%D 2003
%I arXiv
%X The eigenvalues and eigenfunctions of an elementary 3-fermion 2-body operator $3P^2_g\wedge I^1\equiv A^3 \sum\limits_{1\leq i < j \leq 3} P^2_g(i,j)A^3$ acting on a 3-particle antisymmetric finite dimensional Hilbert space have been found. Here $P^2_g$ denotes the projection operator onto a 2-particle antisymmetric function $g^2$, while $A^3$ denotes the 3-particle antisymmetrizing operator. keywords: spectral decomposition of operators, fermion 2--body operators
%U http://arxiv.org/abs/math-ph/0311027v1