N-Representability Problem for Fermion Density Matrices. I. The Second-Order Density Matrix with N =3
- 15 November 1965
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 43 (10) , S258-S264
- https://doi.org/10.1063/1.1701504
Abstract
The N representability problem is the problem of how to recognize whether a given pth‐order reduced density matrix is derivable from an antisymmetaic N‐particle wavefunction ψ by integrating out all but coordinates from ψ*ψ. The conditions under which a given second‐order density matrix is N representable by a three‐particle wavefunction are discussed.Keywords
This publication has 13 references indexed in Scilit:
- Discussion on Natural Expansions and Properties of the Chemical BondReviews of Modern Physics, 1963
- Structure of Fermion Density MatricesReviews of Modern Physics, 1963
- Density Matrices of n-Fermion SystemsCanadian Mathematical Bulletin, 1961
- Eigenvalues of Density MatricesPhysical Review B, 1961
- Theory and applications of the density matrixReports on Progress in Physics, 1961
- Remarks on Mayer's Reduced Density Matrix MethodProgress of Theoretical Physics, 1957
- Density Matrix and the Many-Body ProblemPhysical Review B, 1957
- Present Situation of Quantum ChemistryThe Journal of Physical Chemistry, 1957
- Electron CorrelationPhysical Review B, 1955
- Zur Theorie der linearen und nichtlinearen IntegralgleichungenMathematische Annalen, 1907