Reduced Density Matrices of Energy Eigenstates
- 1 September 1969
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (9), 1761-1763
- https://doi.org/10.1063/1.1665024
Abstract
The following question is considered: What special properties are possessed by those reduced density matrices which come from energy eigenstates? Using the fact that 〈φ[H, A]|φ〉 = 0, where A is any operator and |φ〉 an energy eigenstate, it is shown that the elements of the two-particle density matrix are severely restricted by homogeneous linear relations. Their full content is expressed in terms of an auxiliary one-particle density which possesses additional positivity properties in the ground state.Keywords
This publication has 2 references indexed in Scilit:
- Pauli-Principle Restriction on the Two Matrix of Bopp for Atomic Ground StatesPhysical Review B, 1969
- Reduction of the N-Particle Variational ProblemJournal of Mathematical Physics, 1964