Series 
Mathematical physics studies 

Mathematical physics studies.

Subject 
Manybody problem.


Electrons.

Alt Name 
Bach, Volker, 1965


Delle Site, Luigi,

Description 
1 online resource. 
Summary 
This book provides a broad description of the development and (computational) application of manyelectron approaches from a multidisciplinary perspective. In the context of studying manyelectron systems Computer Science, Chemistry, Mathematics and Physics are all intimately interconnected. However, beyond a handful of communities working at the interface between these disciplines, there is still a marked separation of subjects. This book seeks to offer a common platform for possible exchanges between the various fields and to introduce the reader to perspectives for potential further developments across the disciplines. The rapid advances of modern technology will inevitably require substantial improvements in the approaches currently used, which will in turn make exchanges between disciplines indispensable. In essence this book is one of the very first attempts at an interdisciplinary approach to the manyelectron problem. 
Contents 
Topics in Quantum Chemistry  Relativistic Quantum Theory of ManyElectron Systems  Spurious Modes in Dirac Calculations and how to avoid them  Tensor product approximation (DMRG) and Coupled Cluster Method in Quantum Chemistry  Quantum Cluster Equilibrium  Linear Response Methods in Quantum Chemistry  Topics in Density Functional Theory and Related Approaches  Progress on New Approaches to Old Ideas: Orbitalfree Density Functionals  Timedependent Density Functional Theory  Density Functional Theory for StronglyInteracting Electrons  Towards the Computational Design of Compounds from First Principles  Application of (KohnSham) Density Functional Theory to Real Materials  The Quantum Energy agrees with the M̃%#̃127;uller Energy up to the Third Order  Mathematical Aspects of Density Functionals and Density Matrix Functionals in Quantum Chemistry  Some (important?) unsolved Mathematical Problems in Molecular Simulation.Topics in Computer Science  The Computational Complexity of Density Functional Theory  Computational Techniques for Density Functionalbased Molecular Dynamics Calculations in PlaneWave and Localized Basis Sets  Information Theory in ManyElectron Descriptions  Towards the InformationTheoretic Construction of an Orbitalfree Kinetic Energy Functional  LiebRobinson Bounds and Simulation of Time Evolution of Local Observables in Lattice Systems  Green Functionbased Approaches  Electronic Structure Calculations with LDA+DMFT  The GW Approximation for the Electronic SelfEnergy  Topics in Quantum Monte Carlo and Related Approaches  LevyLieb Principle meets Quantum Monte Carlo  The new Resonating Valence Bond Method for abinitio Electronic Simulations. Mathematical Perspective on Quantum Monte Carlo Methods  Open Problems: A wish list of Mel Levy and Elliot Lieb. 
Note 
Print version record. 
ISBN 
9783319063799 (electronic bk.) 

3319063790 (electronic bk.) 

3319063782 (print) 

9783319063782 (print) 

9783319063782 
ISBN/ISSN 
10.1007/9783319063799 
OCLC # 
883217634 
Additional Format 
Print version: Manyelectron approaches in physics, chemistry and mathematics 3319063782 (OCoLC)875239518 
