Research Catalog

Quantum dynamics with trajectories : introduction to quantum hydrodynamics

Title
Quantum dynamics with trajectories : introduction to quantum hydrodynamics / Robert E. Wyatt ; with contributions by Corey J. Trahan.
Author
Wyatt, Robert E. (Robert Eugene)
Publication
New York : Springer, [2005], ©2005.

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TextRequest in advance QA912 .W93 2005Off-site

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Additional Authors
Trahan, Corey J.
Description
xxi, 405 pages : illustrations; 25 cm.
Summary
"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." "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."--BOOK JACKET.
Series Statement
Interdisciplinary applied mathematics ; v. 28
Uniform Title
Interdisciplinary applied mathematics ; v. 28.
Subject
  • Hydrodynamics
  • Quantum trajectories
  • Lagrangian functions
  • Schrödinger equation
  • Quantum field theory
Bibliography (note)
  • Includes bibliographical references and index.
Contents
1. Introduction to quantum trajectories -- 2. The Bohmian route to the hydrodynamic equations -- 3. The phase space route to the hydrodynamic equations -- 4. The dynamics and properties of quantum trajectories -- 5. Function and derivative approximation on unstructured grids -- 6. Applications of the quantum trajectory method / Corey J. Trahan -- 7. Adaptive methods for trajectory dynamics / Corey J. Trahan -- 8. Quantum trajectories for multidimensional dynamics -- 9. Approximations to the quantum force -- 10. Derivative propagation along quantum trajectories -- 11. Quantum trajectories in phase space -- 12. Mixed quantum-classical dynamics -- 13. Topics in quantum hydrodynamics : the stress tensor and vorticity -- 14. Quantum trajectories for stationary states -- 15. Challenges and opportunities -- App. 1. Atomic units -- App. 2. Example QTM program.
ISBN
0387229647 (acid-free paper)
LCCN
  • 2004059022
  • 9780387229645
OCLC
  • ocm56794431
  • SCSB-5204709
Owning Institutions
Columbia University Libraries