The N-representability Problem

The N-representability Problem PDF Author: Mary Beth Ruskai
Publisher:
ISBN:
Category : Matrices
Languages : en
Pages : 326

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Book Description

The N-representability Problem

The N-representability Problem PDF Author: Mary Beth Ruskai
Publisher:
ISBN:
Category : Matrices
Languages : en
Pages : 326

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Book Description


The N-representability Problem and Some Related Atomic Calculations

The N-representability Problem and Some Related Atomic Calculations PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 234

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The N-representability Problem and Some Related Atomic Calculations

The N-representability Problem and Some Related Atomic Calculations PDF Author: Keith Dennis
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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A Combinatorial Approach to the Diagonal N-representability Problem

A Combinatorial Approach to the Diagonal N-representability Problem PDF Author: Mark Laurance Yoseloff
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages :

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Many-Electron Densities and Reduced Density Matrices

Many-Electron Densities and Reduced Density Matrices PDF Author: Jerzy Cioslowski
Publisher: Springer Science & Business Media
ISBN: 1461542111
Category : Science
Languages : en
Pages : 311

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Book Description
Science advances by leaps and bounds rather than linearly in time. I t is not uncommon for a new concept or approach to generate a lot of initial interest, only to enter a quiet period of years or decades and then suddenly reemerge as the focus of new exciting investigations. This is certainly the case of the reduced density matrices (a k a N-matrices or RDMs), whose promise of a great simplification of quantum-chemical approaches faded away when the prospects of formulating the auxil iary yet essential N-representability conditions turned quite bleak. How ever, even during the period that followed this initial disappointment, the 2-matrices and their one-particle counterparts have been ubiquitous in the formalisms of modern electronic structure theory, entering the correlated-level expressions for the first-order response properties, giv ing rise to natural spinorbitals employed in the configuration interaction method and in rigorous analysis of electronic wavefunctions, and al lowing direct calculations of ionization potentials through the extended Koopmans'theorem. The recent research of Nakatsuji, Valdemoro, and Mazziotti her alds a renaissance of the concept of RDlvls that promotes them from the role of interpretive tools and auxiliary quantities to that of central variables of new electron correlation formalisms. Thanks to the economy of information offered by RDMs, these formalisms surpass the conven tional approaches in conciseness and elegance of formulation. As such, they hold the promise of opening an entirely new chapter of quantum chemistry.

Phase Transitions and Self-Organization in Electronic and Molecular Networks

Phase Transitions and Self-Organization in Electronic and Molecular Networks PDF Author: J.C. Phillips
Publisher: Springer Science & Business Media
ISBN: 0306471132
Category : Science
Languages : en
Pages : 455

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Book Description
Advances in nanoscale science show that the properties of many materials are dominated by internal structures. In molecular cases, such as window glass and proteins, these internal structures obviously have a network character. However, in many partly disordered electronic materials, almost all attempts at understanding are based on traditional continuum models. This workshop focuses first on the phase diagrams and phase transitions of materials known to be composed of molecular networks. These phase properties characteristically contain remarkable features, such as intermediate phases that lead to reversibility windows in glass transitions as functions of composition. These features arise as a result of self-organization of the internal structures of the intermediate phases. In the protein case, this self-organization is the basis for protein folding. The second focus is on partly disordered electronic materials whose phase properties exhibit the same remarkable features. In fact, the phenomenon of High Temperature Superconductivity, discovered by Bednorz and Mueller in 1986, and now the subject of 75,000 research papers, also arises from such an intermediate phase. More recently discovered electronic phenomena, such as giant magnetoresistance, also are made possible only by the existence of such special phases. This book gives an overview of the methods and results obtained so far by studying the characteristics and properties of nanoscale self-organized networks. It demonstrates the universality of the network approach over a range of disciplines, from protein folding to the newest electronic materials.

Advances in Quantum Chemistry

Advances in Quantum Chemistry PDF Author:
Publisher: Academic Press
ISBN: 0080582613
Category : Science
Languages : en
Pages : 417

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Book Description
Advances in Quantum Chemistry publishes articles and invited reviews by leading international researchers in quantum chemistry. Quantum chemistry deals particularly with the electronic structure of atoms, molecules, and crystalline matter and describes it in terms of electron wave patterns. It uses physical and chemical insight, sophisticated mathematics and high-speed computers to solve the wave equations and achieve its results. Advances highlights these important, interdisciplinary developments.

Trends and Perspectives in Modern Computational Science

Trends and Perspectives in Modern Computational Science PDF Author: George Maroulis
Publisher: CRC Press
ISBN: 904741862X
Category : Computers
Languages : en
Pages : 606

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Book Description
Contains a collection of the lectures of the invited speakers presented at the International Conference of Computational methods in Science and Engineering (ICCMSE 2006), held in Chania, Greece, October 2006. This book presents developments of Computational Science pertinent to Physics, Chemistry, Biology, Medicine, Mathematics and Engineering.

Density Functional Theory

Density Functional Theory PDF Author: Reiner M. Dreizler
Publisher: Springer Science & Business Media
ISBN: 3642861059
Category : Science
Languages : en
Pages : 312

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Book Description
Density Functional Theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid-state and nuclear physics. This book describes the conceptual framework of density functional theory and discusses in detail the derivation of explicit functionals from first principles as well as their application to Coulomb systems. Both non-relativistic and relativistic systems are treated. The connection of density functional theory with other many-body methods is highlighted. The presentation is self-contained; the book is, thus, well suited for a graduate course on density functional theory.

Reduced-Density-Matrix Mechanics

Reduced-Density-Matrix Mechanics PDF Author: David A. Mazziotti
Publisher: John Wiley & Sons
ISBN: 047010659X
Category : Science
Languages : en
Pages : 300

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Book Description
An up-to-date account of this cutting-edge research in a consistent and understandable framework, of special interest to experts in other areas of electronic structure and/or quantum many-body theory. It will serve equally well as a self-contained guide to learning about reduced density matrices either through self-study or in a classroom as well as an invaluable resource for understanding the critical advancements in the field.