Variational theorems for the single-particle probability density and density matrix in momentum space
- 1 January 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 23 (1) , 19-20
- https://doi.org/10.1103/physreva.23.19
Abstract
The existence of Hohenberg-Kohn—like density-functional theorems in momentum space is demonstrated. Invoking principles employed by Levy to construct universal variational density and density-matrix functionals in position space, it is found that (1) there exists a universal variational functional for the one-electron reduced density matrix in momentum space, and (2) for any given external potential, there exists a proper variational functional for the one-electron momentum-space probability density.Keywords
This publication has 3 references indexed in Scilit:
- Universal variational functionals of electron densities, first-order density matrices, and natural spin-orbitals and solution of the v -representability problemProceedings of the National Academy of Sciences, 1979
- Inhomogeneous Electron GasPhysical Review B, 1964
- Structure of Fermion Density MatricesReviews of Modern Physics, 1963