Many-Electron Densities and Reduced Density Matrices (Mathematical and Computational Chemistry)

by Jerzy Cioslowski

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• 1 Currently reading

Published September 30, 2000 by Springer .
Written in English

Subjects:

• Quantum & theoretical chemistry,
• Computer Techniques In Chemistry,
• Quantum Chemistry,
• Science,
• Science/Mathematics,
• Chemistry - Physical & Theoretical,
• Engineering - Electrical & Electronic,
• Science / Chemistry / Physical & Theoretical,
• Technology-Engineering - Electrical & Electronic,
• Chemistry - General,
• Chemistry, Physical and theore,
• Chemistry, Physical and theoretical,
• Density matrices,
• Mathematics

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The Physical Object
Format	Hardcover
Number of Pages	312
ID Numbers
Open Library	OL9729762M
ISBN 10	0306464543
ISBN 10	9780306464546

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In quantum mechanics, and in particular quantum chemistry, the electronic density is a measure of the probability of an electron occupying an infinitesimal element of space surrounding any given point. It is a scalar quantity depending upon three spatial variables and is typically denoted as either () or ().The density is determined, through definition, by the normalized -electron wavefunction. Reduced Density Matrix Functional Theory for Many Electron Systems S. Sharma1,2 and J. K. Dewhurst3 1 Fritz Haber Institute of the Max Planck Society, Berlin, Germany 2 Institut fur¨ Theoretische Physik, Freie Universit¨at Berlin, Germany 3 School of Chemistry, The University of Edinburgh, Scotland May S. Sharma Reduced Density Matrix.

The ground-state fermion second-order reduced density matrix (2-RDM) is determined variationally using itself as a basic variable. As necessary conditions of the N-representability, we used the positive semidefiniteness conditions, P, Q, and G conditions that are described in terms of the 2-RDM. The variational calculations are performed by using recently developed semidefinite programming Cited by: reduced density matrix. IV. EFFECTIVE HAMILTONIAN AND THE REDUCED DENSITY MATRIX In Sec. II we showed that the same density matrices correspond to the same effective Hamiltonian. In Sec. III, we established that BOA is an essential parameter in determin . (9) The pair density in approximate density functionals: the hidden agent N.T. Maitra and K. Burke, in Many-Electron Densities and Reduced Density Matrices, ed. J. Cioslowski (Kluwer, New York) (). (8) Semiclassical maps: A study of classically forbidden transitions, sub .

Reduced-Density-Matrix Mechanics: With Application to Many-Electron Atoms and Molecules, edited by D. A. Mazziotti, Adv. Chem. Phys. vol. , Wiley Many-Electron Densities and Reduced Density Matrices, edited by J. Cioslowski, Springer Novel metods: density matrix renormalization group. The electron density is spherically symmetric in atoms and the radial electron density D(r) is more useful as in section For example, the electron configuration of .   SIAM Journal on Matrix Analysis and Applications , Abstract | PDF ( KB) On Calculating Approximate and Exact Density Matrices. Many-Electron Densities and Reduced Density Matrices, () Robust Stability and Performance Analysis of Uncertain Systems Using Linear Matrix Inequalities. On the Facial Structure of Cited by: