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Inequalities for fermion density matrices

✍ Scribed by Claude Garrod; J. Michael Hannon

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
673 KB
Volume
13
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A partial trace over the occupation numbers of all but k states in the density matrix of an ensemble with an arbitrary number of single‐particle states is defined as the (reduced) k‐state density matrix. This matrix is used to obtain a complete, practical solution to the problem of determining the representability of the diagonal elements of the one‐ and two‐particle (reduced) density matrices. This solution is expressed as a series of linear inequalities involving the density‐matrix elements; the inequalities are identical with those derived previously by Davidson and McCrae by a different method. In addition, our method is used to obtain nonlinear, matrix inequalities on the off‐diagonal elements of the density matrices.

πŸ“œ SIMILAR VOLUMES

Algebraic structure of fermion density m
Algebraic structure of fermion density matrices. I
✍ G. G. Dyadyusha; E. S. Kryachko πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 293 KB

## Abstract In this paper we define the algebraic structure of a reduced fermion density matrix. We relate the algebraic structure to certain symmetry properties of the reduced density matrix.

Algebraic structure of fermion density m
Algebraic structure of fermion density matrices. II
✍ G. G. Dyadyusha; Eugene S. Kryachko πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 316 KB

## Abstract The properties of the algebraic structure of fermion density matrices are studied. The algebraic structure of a density matrix leads to a more varied and detailed classification scheme than that offered by the usual shell structure approach. Investigation of the algebraic structure of f

Inequalities for J-Hermitian matrices
Inequalities for J-Hermitian matrices
✍ N. Bebiano; H. Nakazato; J. da ProvidΓͺncia; R. Lemos; G. Soares πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 269 KB