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Multidimensional Quantum Dynamics

  • ID: 2179839
  • Book
  • April 2009
  • 442 Pages
  • John Wiley and Sons Ltd
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Science aims to correlate observable molecular properties with the internal workings of molecules as a means to design novel structures with specific properties. Determining atomic motion within molecules, i.e., their dynamics, is the key to this. With growing size it becomes impossible to implement the most precise and correct method, quantum mechanics. Computationally cheap classical mechanics are too crude for the finer points, which has led to the investment in improving quantum dynamical simulations for larger molecules. Better algorithms are more important than bigger computers, and MCTDH is the best to date. The first section of the book contains a comprehensive description of MCTDH and its theoretical background, and the second section 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 a handbook and ready reference for theoretical chemists, physicists, chemists, graduate students, lecturers and software producers.

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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
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Hans–Dieter Meyer
Fabien Gatti
Graham A. Worth
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