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Many-Electron Approaches in Physics, Chemistry and Mathematics

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Cover of 'Many-Electron Approaches in Physics, Chemistry and Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Relativistic Quantum Theory of Many-Electron Systems
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    Chapter 2 Spurious Modes in Dirac Calculations and How to Avoid Them
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    Chapter 3 Tensor Product Approximation (DMRG) and Coupled Cluster Method in Quantum Chemistry
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    Chapter 4 Quantum Cluster Equilibrium
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    Chapter 5 Linear Response Methods in Quantum Chemistry
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    Chapter 6 Progress on New Approaches to Old Ideas: Orbital-Free Density Functionals
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    Chapter 7 Time-Dependent Density Functional Theory
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    Chapter 8 Density Functional Theory for Strongly-Interacting Electrons
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    Chapter 9 Towards the Computational Design of Compounds from First Principles
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    Chapter 10 Application of (Kohn–Sham) Density-Functional Theory to Real Materials
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    Chapter 11 The Quantum Energy Agrees with the Müller Energy up to Third Order
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    Chapter 12 Mathematical Aspects of Density Functionals and Density Matrix Functionals in Quantum Chemistry
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    Chapter 13 Some (Important?) Unsolved Mathematical Problems in Molecular Simulation
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    Chapter 14 The Computational Complexity of Density Functional Theory
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    Chapter 15 Computational Techniques for Density Functional Based Molecular Dynamics Calculations in Plane-Wave and Localized Basis Sets
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    Chapter 16 Towards the Information-Theoretic Construction of an Orbital-Free Kinetic-Energy Functional
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    Chapter 17 Lieb-Robinson Bounds and the Simulation of Time-Evolution of Local Observables in Lattice Systems
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    Chapter 18 Electronic Structure Calculations with LDA $$+$$ DMFT
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    Chapter 19 The GW Approximation for the Electronic Self-Energy
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    Chapter 20 Levy-Lieb Principle meets Quantum Monte Carlo
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    Chapter 21 The New Resonating Valence Bond Method for Ab-Initio Electronic Simulations
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    Chapter 22 Mathematical Perspective on Quantum Monte Carlo Methods
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    Chapter 23 On Some Open Problems in Many-Electron Theory
Attention for Chapter 22: Mathematical Perspective on Quantum Monte Carlo Methods
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Chapter title
Mathematical Perspective on Quantum Monte Carlo Methods
Chapter number 22
Book title
Many-Electron Approaches in Physics, Chemistry and Mathematics
Published in
ADS, January 2014
DOI 10.1007/978-3-319-06379-9_22
Book ISBNs
978-3-31-906378-2, 978-3-31-906379-9
Authors

Eric Cancès