Geodesic
Density Matrices of n-Fermion Systems
Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 209-212

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The energy of a system of indistinguishable particles in two-body interaction may be expressed in terms of the one and two-particle density matrices. In order to work directly with the density matrices we must know what restrictions are imposed on them by the statistics of the system. This report summarizes some results giving a partial answer to the question "What functions can arise as density matrices of a system of n fermions?". 
Coleman, A. J. Density Matrices of n-Fermion Systems. Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 209-212. doi: 10.4153/CMB-1961-023-7
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     author = {Coleman, A. J.},
     title = {Density {Matrices} of {n-Fermion} {Systems}},
     journal = {Canadian mathematical bulletin},
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     year = {1961},
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     number = {2},
     doi = {10.4153/CMB-1961-023-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1961-023-7/}
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