Quantum Dynamics with Trajectories

Introduction to Quantum Hydrodynamics

Robert E. Wyatt - Collection Interdisciplinary applied mathematics

406 pages, parution le 10/08/2005

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Résumé

Remarkable progress has recently been made in the application of quantum trajectories as the computational tool for solving quantum mechanical problems. This is the first book to present these developments in the broader context of the hydrodynamical formulation of quantum dynamics. In addition to a thorough discussion of the quantum trajectory equations of motion, there is considerable material that deals with phase space dynamics, adaptive moving grids, electronic energy transfer, and trajectories for stationary states.

On the pedagogical side, a number of sections of this book will be accessible to students who have had an introductory quantum mechanics course. There is also considerable material for advanced researchers, and chapters in the book cover both methodology and applications. The book will be useful to students and researchers in physics, chemistry, applied math, and computational dynamics.

Sommaire

Preface
Outline of Boxes
Historical Comments with Portraits
Sources for Portraits of Physicist
Permissions for Use of Figures
Introduction to Quantum Trajectories
The Bohmian Route to the Hydrodynamic Equations
The Phase Space Route to the Hydrodynamic Equations
The Dynamics and Properties of Quantum Trajectories
Function and Derivative Approximation on Unstructured Grids
Applications of the Quantum Trajectory Method
Adaptive Methods for Trajectory Dynamics
Quantum Trajectories for Multidimensional Dynamics
Approximations to the Quantum Force
Derivative Propagation Along Quantum Trajectories
Quantum Trajectories in Phase Space
Mixed Quantum-Classical Dynamics
Topics in Quantum Hydrodynamics: The Stress Tensor and Vorticity
Quantum Trajectories for Stationary States
Challenges and Opportunities
Appendix 1: Atomic Units
Appendix 2: Example QTM Program
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Robert E. Wyatt
Collection	Interdisciplinary applied mathematics
Parution	10/08/2005
Nb. de pages	406
Format	16 x 24
Couverture	Relié
Poids	717g
Intérieur	Noir et Blanc
EAN13	9780387229645
ISBN13	978-0-387-22964-5