Eigenvalue estimates for the one-particle density matrix
نویسندگان
چکیده
It is shown that the eigenvalues $\lambda_k, k=1, 2, \dots,$ of one-particle density matrix satisfy bound $\lambda_k\le C k^{-8/3}$ with a positive constant $C$.
منابع مشابه
One-Particle Density Matrix Functional for Correlation in Molecular Systems
Based on the analysis of the general properties for the oneand twoparticle reduced density matrices, a new natural orbital functional is obtained. It is shown that by partitioning the two-particle reduced density matrix in an antisymmeterized product of one-particle reduced density matrices and a correction c we can derive a corrected Hartree–Fock theory. The spin structure of the correction te...
متن کاملA Density Matrix-based Algorithm for Solving Eigenvalue Problems
A new numerical algorithm for solving the symmetric eigenvalue problem is presented. The technique deviates fundamentally from the traditional Krylov subspace iteration based techniques (Arnoldi and Lanczos algorithms) or other Davidson-Jacobi techniques, and takes its inspiration from the contour integration and density matrix representation in quantum mechanics. It will be shown that this new...
متن کاملEigenvalue Placement for Regular Matrix Pencils with Rank One Perturbations
A regular matrix pencil sE − A and its rank one perturbations are considered. We determine the sets in C ∪ {∞} which are the eigenvalues of the perturbed pencil. We show that the largest Jordan chains at each eigenvalue of sE − A may disappear and the sum of the length of all destroyed Jordan chains is the number of eigenvalues (counted with multiplicities) which can be placed arbitrarily in C∪...
متن کاملOne-particle density matrix and momentum distribution function of one-dimensional anyon gases
We present a systematic study of the Green functions of a onedimensional gas of impenetrable anyons. We show that the one-particle density matrix is the determinant of a Toeplitz matrix whose large N asymptotic is given by the Fisher-Hartwig conjecture. We provide a careful numerical analysis of this determinant for general values of the anyonic parameter, showing in full details the crossover ...
متن کاملOn the Inference of the One-Particle Density Matrix from Position and Momentum-Space Form Factors*
für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of spectral theory
سال: 2022
ISSN: ['1664-039X', '1664-0403']
DOI: https://doi.org/10.4171/jst/407