By David A. Mazziotti
An updated account of this state-of-the-art examine in a constant and comprehensible framework, of targeted curiosity to specialists in different components of digital constitution and/or quantum many-body thought. it is going to serve both good as a self-contained consultant to studying approximately decreased density matrices both via self-study or in a lecture room in addition to a useful source for realizing the severe developments within the box.
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Extra resources for Advances in Chemical Physics, Reduced-Density-Matrix Mechanics: With Application to Many-Electron Atoms and Molecules (Volume 134)
13, 737–742 (1978). 31. M. Rosina and P. Van Leuven, Density-matrix approach to wave-packet dynamics. Phys. Rev. A 45, 64–69 (1992). 32. R. M. Erdahl, C. Garrod, B. Golli, and M. Rosina, The application of group theory to generate new representability conditions for rotationally invariant density matrices. J. Math. Phys. 20, 1366– 1374 (1979). PART II CHAPTER 3 VARIATIONAL TWO-ELECTRON REDUCED-DENSITY-MATRIX THEORY DAVID A. MAZZIOTTI Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, IL 60637 USA CONTENTS I.
16. M. Rosina, Some theorems on uniqueness and reconstruction of higher-order density matrices, in Many-Electron Densities and Reduced Density Matrices (J. ), Kluwer Academic/ Plenum Publishers, New York, 2000, pp. 19–32. 17. M. V. Mihailovic´ and M. Rosina, The variational approach to the density matrix for light nuclei. Nucl. Phys. A237, 221–228 (1975). 18. M. V. Mihailovic´ and M. Rosina, The particle–hole states in some light nuclei calculated with the two-body density matrix of the ground state.
A hot topic was the study of collective excitations of nuclei such as giant dipole resonance or shape vibrations, and the state-of-the-art method was the nuclear shell model plus random phase approximation (RPA). With improved experimental precision and theoretical ambitions in the 1960s, the nuclear manybody problem was born. The importance of the ground-state correlations for the transition amplitudes to excited states was recognized. In Ljubljana, we participated in the measurements of the giant dipole resonance in light nuclei (1958–1960) and we discovered its rich structure.
Advances in Chemical Physics, Reduced-Density-Matrix Mechanics: With Application to Many-Electron Atoms and Molecules (Volume 134) by David A. Mazziotti