Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics / Edition 1

by Robert E. Wyatt, Corey J. Trahan

Overview

This is a rapidly developing field to which the author is a leading contributor

New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book

Useful to both students and researchers

Product Details

ISBN-13:	9781441919908
Publisher:	Springer New York
Publication date:	12/01/2010
Series:	Interdisciplinary Applied Mathematics , #28
Edition description:	Softcover reprint of hardcover 1st ed. 2005
Pages:	408
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

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.

Editorial Reviews

From the reviews:

"This excellent book covers a wide range of topics associated with Quantum Hydrodynamics. It's an excellent survey of the history, current state-of-the-field, and future research directions." (Brian Kendrick, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA)

"The book is unique in that it addresses with equal expertise, computational methodology and theoretical connections at the interface between de Broglie-Bohm theory and phase space moment methods. A highly didactic text, to be recommended to graduate students and researchers in physics and chemistry." (Irene Burghardt, Dépt. de chimie, Ecole Normale Supérieure, Paris, France)

"Wyatt shows how one can use the ideas drawn from Bohm's interpretation to develop new and efficient computational methods for both time dependent and time independent quantum mechanics.This is THE definitive text on practical Bohmian mechanics." (Eric Bittner, Dept. of Chemistry, University of Houston, TX, USA)

"The book under review is a good introduction to quantum hydrodynamics and an invaluable survey of the subject. It is written in clear and rigorous language and may be helpful both for novices having basic knowledge in quantum mechanics and experts. … Numerous illustrations, results of numerical computations and historical comments make reading more fascinating." (Sergei A. Nemnyugin, Mathematical Reviews, Issue 2006 k)

"This book presents the state of the art in the quantum trajectory (QT) method and its applications in quantum hydrodynamics. … In addition to advanced issues at the level of professional researchers, the book also contains many introductory elements that can nicely serve also to graduate students as a suitable extension of their textbook literature on quantum mechanics. Numerous boxes with outlines and summaries of basic results of chapter are particularly valuable to those who need a brief and conciseinformation on a particular item." (Vladimir Cadež, Zentralblatt MATH, Vol. 1107 (9), 2007)

From the Publisher