Spectral decomposition of an elementary 3-fermion 2-body operator

Details Spectral decomposition of an elementary 3-fermion 2-body operator Spectral decomposition of an elementary 3-fermion 2-body operator

2003-11-16

arxiv.org/abs/math-ph/0311027v1

Physics

Mathematical Physics

12 pages

Scientific paper

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

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