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Methods of molecular quantum mechanics

Roy McWeeny
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TLDR
In this article, a survey of many-electron wavefunctions spin and permutation symmetry is presented, including the Electron Distribution Self-Consistent Field Theory Valence Bond Theory Multiconfiguration SCF Theory Perturbation Theory and Diagram Techniques Large-Scale CI and the Unitary-Group Approach Small Terms in the Hamiltonian Static Properties Dynamic Properties Dynamic properties and Response Theory Propagator and Equation-of-Motion Methods Intermolecular Forces Appendixes: Atomic Orbitals Angular Momentum Symmetry and Group Concepts Relativistic
Abstract
Introductory Survey Mathematical Methods Many-Electron Wavefunctions Spin and Permutation Symmetry Digression: The Electron Distribution Self-Consistent Field Theory Valence Bond Theory Multiconfiguration SCF Theory Perturbation Theory and Diagram Techniques Large-Scale CI and the Unitary-Group Approach Small Terms in the Hamiltonian Static Properties Dynamic Properties and Response Theory Propagator and Equation-of-Motion Methods Intermolecular Forces Appendixes: Atomic Orbitals Angular Momentum Symmetry and Group Concepts Relativistic Terms in the Hamiltonian References Index

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Formulation of N - and υ-representable density functional theory. III: Excited states

TL;DR: In this paper, the local scaling transformation version of density functional theory is extended to the treatment of excited states, and the derivation of an Euler-Lagrange equation for the composite excited-state density is discussed.
Journal ArticleDOI

Assessment of range-separated time-dependent density-functional theory for calculating C6 dispersion coefficients

TL;DR: It is shown that introduction of long-range HF exchange in TDDFT has a small but beneficial impact on the values of C6 coefficients, and it is confirmed that the present variant of range-separatedTDDFT is a reasonably accurate method even using only a LDA-type density functional and without adding an explicit treatment ofLong-range correlation.
Book

Hybrid Methods of Molecular Modeling

TL;DR: A brief overview of the general setting of the molecular modeling problem and the quantum mechanical and quantum chemical techniques can be found in this article, where a collection of computer-based tools of varying theoretical soundness are used to explain, and eventually predict, the properties of molecular systems on the basis of their composition, geometry and electronic structure.
Journal ArticleDOI

The valence bond calculations for conjugated hydrocarbons having 24-28 ?-electrons

TL;DR: In this article, a novel algorithm is introduced for coding all Slater determinants in the covalent space with conserved SZ, the z component of total spin S for a classical valence bond (VB) model.
Journal ArticleDOI

The Hopf algebra of identical, fermionic particle systems—Fundamental concepts and properties

TL;DR: The Hopf algebra structure of the fermionic Fock space is unravelled in this article, and the tools provided by the hopf algebra formalism are used to re-derive in a more straightforward fashion some known theorems and to open the way to natural generalizations of these results.
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