Variational occupation numbers to a M\"uller-type pair-density

Based on a parametric point-wise decomposition, a kind of isospectral deformation, of the exact one-particle probability density of an externally confined, analytically solvable interacting two-particle model system we introduce the associated parametric ($p$) one-matrix and apply it in the conventi...

Full description

Saved in:
Bibliographic Details
Main Authors Benavides-Riveros, C. L, Nagy, I
Format Journal Article
LanguageEnglish
Published 11.06.2014
Subjects
Physics - Atomic Physics
Physics - Quantum Physics
Online AccessGet full text

Cover

More Information
Summary:Based on a parametric point-wise decomposition, a kind of isospectral deformation, of the exact one-particle probability density of an externally confined, analytically solvable interacting two-particle model system we introduce the associated parametric ($p$) one-matrix and apply it in the conventional M\"uller-type partitioning of the pair-density. Using the Schr\"odinger Hamiltonian of the correlated system, the corresponding approximate ground-state energy $E_p$ is then calculated. The optimization-search performed on $E_p$ with such restricted informations has a robust performance and results in the exact ($ex$) ground-state energy for the correlated model system $E_p=E_{ex}$.
DOI:10.48550/arxiv.1406.2809