Spectral decomposition of an elementary 3-fermion 2-body operator |
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| Authors: | Hubert Grudziński |
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| Affiliation: | Department of Physics, Academy of Bydgoszcz, pl. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland; Institute of Physics, Nicolaus Copernicus University, ul. Grudz?dzka 5, 87-100 Toruń, Poland |
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| Abstract: | The eigenvalues and eigenfunctions of an elementary 3-fermion 2-body operator 3P2g∧I1A3∑1≤i≤j≤3P2g(i, j)A3 acting on a 3-particle antisymmetric finite-dimensional Hilbert space have been found. Here Pg2 denotes the projection operator onto a 2-particle antisymmetric function g2, while A3 denotes the 3-particle antisymmetrizing operator. |
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| Keywords: | spectral decomposition of operators fermion 2-body operators |
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