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Multidimensional Quantum Dynamics: MCTDH Theory and Applications

Multidimensional Quantum Dynamics: MCTDH Theory and Applications

Hans-Dieter Meyer (Editor), Fabien Gatti (Editor), Graham A. Worth (Editor)

ISBN: 978-3-527-62741-7

Apr 2009

442 pages



The first book dedicated to this new and powerful computational method begins with a comprehensive description of MCTDH and its theoretical background. There then follows a discussion of recent extensions of MCTDH, such as the treatment of identical particles, leading to the MCTDHF and MCTDHB methods for fermions and bosons. The third section presents a wide spectrum of very different applications to reflect the large diversity of problems that can be tackled by MCTDH.
The result is handbook and ready reference for theoretical chemists, physicists, chemists, graduate students, lecturers and software producers.
The Road to MCTDH
Basic MCTDH Theory
Integration Schemes
Preparation of the Initial Wavepacket
Analysis of the Propagated Wave Packet
MCTDH for Density Operators
Computing Eigenstates by Relaxation and Improved Relaxation
Iterative Diagonalzation of Operators
Correlation Discrete Variable Represenation
Potential Representations (potfit)
Kinetic Energy Operators

Direct Dynamics with Quantum Nuclei
Multilayer Formulation of the Multiconfiguration Time-Dependent Hartree Theory
Shared Memory Parallelization of the Multiconfiguration Time-Dependent Hartree Method
Strongly Driven Few-Fermion Systems -
The Multiconfigurational Time-Dependent Hartree Method for Identical Particles and Mixtures Thereof

Multidimensional Non-Adiabatic Dynamics
MCTDH Calculation of Flux Correlation Functions: Rates and Reaction Probabilities for Polyatomic Chemical Reactions
Reactive and Non-Reactive Scattering of Molecules From Surfaces
Intramolecular Vibrational Energy Redistribution and Infrared Spectroscopy
Open System Quantum Dynamics with Discretized Environments
Proton Transfer and Hydrated Proton in Small Water Systems
Laser-Driven Dynamics and Quantum Control of Molecular Wavepackets
Polyatomic Dynamics of Dissociative Electron Attachment to Water Using MCTDH
Ultracold Few-Boson Systems in Traps