By David A. Mazziotti
An up to date account of this state-of-the-art examine in a constant and comprehensible framework, of particular curiosity to specialists in different parts of digital constitution and/or quantum many-body conception. it is going to serve both good as a self-contained advisor to studying approximately diminished density matrices both via self-study or in a school room in addition to a useful source for realizing the severe developments within the box.
Read or Download Advances in Chemical Physics, Reduced-Density-Matrix Mechanics: With Application to Many-Electron Atoms and Molecules (Volume 134) PDF
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An updated account of this state-of-the-art study in a constant and comprehensible framework, of precise 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 lowered density matrices both via self-study or in a school room in addition to a useful source for figuring out the serious developments within the box.
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Additional info for Advances in Chemical Physics, Reduced-Density-Matrix Mechanics: With Application to Many-Electron Atoms and Molecules (Volume 134)
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. Nucl. Phys. A237, 229–234 (1975). 19. M. Rosina, J. K. Percus, L. J. Kijewski, and C. Garrod, Reduced density matrices of energy eigenstates. J. Math. Phys. 10, 1761–1763 (1969). 20. M. Rosina and C. Garrod, The particle–hole matrix: its connection with the symmetries and collective features of the ground state. J. Math. Phys. 10, 1855 (1969).
INTRODUCTION In 1927 Landau  and von Neumann  introduced the density matrix into quantum mechanics. The density matrix for the N-electron ground-state Reduced-Density-Matrix Mechanics: With Application to Many-Electron Atoms and Molecules, A Special Volume of Advances in Chemical Physics, Volume 134, edited by David A. Mazziotti. Series editor Stuart A. Rice. Copyright # 2007 John Wiley & Sons, Inc. 21 22 david a. mazziotti wavefunction Éð1; 2; . . ; NÞ, where the numbers represent the spatial and spin coordinates for each electron, is given by N Dð1; 2; .
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. Introduction II. Theory A. Energy as a 2-RDM functional B.
Advances in Chemical Physics, Reduced-Density-Matrix Mechanics: With Application to Many-Electron Atoms and Molecules (Volume 134) by David A. Mazziotti