Description: Quantum Dynamics with Trajectories by Robert E. Wyatt, Corey J. Trahan 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 bookUseful to both students and researchers FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Remarkable progress has recently been made in the application of quantumtrajectories 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. Notes Remarkable progress has recently been made in the development and application of quantum trajectories as the computational tool for solving the time dependent Schrodinger equation. Analogous methods for stationary bound states are also being developed. The purpose of this book is to present recent developments and applications of quantum trajectory methods in the broader context of the hydrodynamical formulation of quantum dynamics. While many chapters of the book deal with Lagrangian quantum trajectories in which the velocity matches that of the probability fluid, other chapters deal with what will be termed post-Lagrangian trajectories. There are also many state-of-the-art topics covered that are unique to this book. On the pedagogical side, a number of sections will be accessible to students who have had at least one course in quantum dynamics. There is also considerable material for advanced researchers, and chapters in the book cover both methodology and applications. Back Cover Remarkable progress has recently been made in the application of quantumtrajectories 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. "This excellent book covers a wide range of topics associated with Quantum Hydrodynamics. Its 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,Departement de chimie, Ecole Normale Superieure, Paris, France Wyatt shows how one can use the ideas drawn from Bohms 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,Department of Chemistry, University of Houston, Tx, USA 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. Review From the reviews:"This excellent book covers a wide range of topics associated with Quantum Hydrodynamics. Its 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 Bohms 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 Cade, Zentralblatt MATH, Vol. 1107 (9), 2007) Long Description Remarkable progress has recently been made in the application of quantumtrajectories 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. Review Quote From the reviews: "This excellent book covers a wide range of topics associated with Quantum Hydrodynamics. Its 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, D Description for Sales People Remarkable progress has recently been made in the development and application of quantum trajectories as the computational tool for solving the time dependent Schrodinger equation. Analogous methods for stationary bound states are also being developed. The purpose of this book is to present recent developments and applications of quantum trajectory methods in the broader context of the hydrodynamical formulation of quantum dynamics. While many chapters of the book deal with Lagrangian quantum trajectories in which the velocity matches that of the probability fluid, other chapters deal with what will be termed post-Lagrangian trajectories. There are also many state-of-the-art topics covered that are unique to this book. On the pedagogical side, a number of sections will be accessible to students who have had at least one course in quantum dynamics. There is also considerable material for advanced researchers, and chapters in the book cover both methodology and applications. Details ISBN1441919902 Author Corey J. Trahan Publisher Springer-Verlag New York Inc. Series Interdisciplinary Applied Mathematics Year 2010 ISBN-10 1441919902 ISBN-13 9781441919908 Format Paperback Imprint Springer-Verlag New York Inc. Subtitle Introduction to Quantum Hydrodynamics Place of Publication New York, NY Country of Publication United States DEWEY 510 Affiliation University of Texas at Austin, USA Short Title QUANTUM DYNAMICS W/TRAJECTORIE Language English Media Book Series Number 28 Pages 408 Illustrations XXII, 408 p. DOI 10.1007/978-0-387-28145-2 Publication Date 2010-12-01 AU Release Date 2010-12-01 NZ Release Date 2010-12-01 US Release Date 2010-12-01 UK Release Date 2010-12-01 Edition Description Softcover reprint of hardcover 1st ed. 2005 Alternative 9780387229645 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96236604;
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ISBN-13: 9781441919908
Book Title: Quantum Dynamics with Trajectories
Number of Pages: 408 Pages
Language: English
Publication Name: Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics
Publisher: Corey J. Trahan, Springer-Verlag New York Inc.
Publication Year: 2010
Subject: Chemistry, Mechanics, Mathematics, Physics
Item Height: 235 mm
Item Weight: 658 g
Type: Textbook
Author: Robert E. Wyatt
Subject Area: Mechanical Engineering
Item Width: 155 mm
Format: Paperback
