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1st Edition

Quantum Trajectories





ISBN 9781439825617
Published November 1, 2010 by CRC Press
429 Pages 93 B/W Illustrations

 
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Book Description

The application of quantum mechanics to many-particle systems has been an active area of research in recent years as researchers have looked for ways to tackle difficult problems in this area. The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area of quantum mechanics. Quantum Trajectories brings the expertise of an international panel of experts who focus on the epistemological significance of quantum mechanics through the quantum theory of motion.

Emphasizing a classical interpretation of quantum mechanics as developed by de Bröglie and Bohm, this volume:

  • Introduces the concept of the quantum theory of motion
  • Explains the connection with conventional quantum mechanics
  • Presents various numerical techniques generated from the Bohmian approach
  • Describes the epistemological significance of quantum trajectories
  • Provides an authoritative account of the foundations of quantum mechanics vis-à-vis that of the Bohmian mechanics

The popularity of using the quantum trajectory as a computational tool has exploded over the last decade, finally bringing this methodology to the level of practical applications. Many of the experts in the field who have either developed the methodology or have improved upon it have contributed chapters to this volume, making it a state-of-the-art expression of the field as it exists today and providing insight into the future of this technology.

Table of Contents

Bohmian Trajectories as the Foundation of Quantum Mechanics; S. Goldstein, R. Tumulka, and N. Zanghì

The Equivalence Postulate of Quantum; A. E. Faraggi and M. Matone

Quantum Trajectories and Entanglement; E. R. Floyd

Quantum Dynamics and Supersymmetric Quantum Mechanics; E. R. Bittner and D.J. Kouri

Quantum Field Dynamics from Trajectories; P. Holland

The Utility of Quantum Forces; G. E. Bowman

Quantum Trajectories in Phase Space; C. C. Martens, A. Donoso, and Y. Zheng

On the Possibility of Empirically Probing the Bohmian Model in Terms of the Testability of Quantum Arrival/Transit Time Distribution; D. Home and A. K. Pan

Semiclassical Implementation of Bohmian Dynamics; V. Rassolov and S. Garashchuk

Mixed Quantum/Classical Dynamics: Bohmian and DVR Stochastic Trajectories; C. Meier, J. A. Beswick, and T. Yefsah

A Hybrid Hydrodynamic–Liouvillian Approach to Non-Markovian Dynamics; K. H. Hughes and I. Burghardt

Quantum Fluid DynamicsWithin the Framework of Density Functional Theory; S. K. Ghosh

An Account of Quantum Interference from a Hydrodynamical Perspective; A.S. Sanz and S. Miret-Artés

Quantum Fluid Density Functional Theory and Chemical Reactivity Dynamics; S. Giri, S. Duley, M. Khatua, U.Sarkar, and P. K. Chattaraj

Bipolar Quantum Trajectory Methods; B. Poirier

Nondifferentiable Bohmian Trajectories; G. Grübl and M. Penz

Nonadiabatic Dynamics with Quantum Trajectories; G. Parlant

Recent Analytical Studies of Complex Quantum Trajectories; C.-C. Chou and R. E. Wyatt

Modified de Broglian Mechanics and the Dynamical Origin of Quantum Probability; M. V. John

Types of Trajectory Guided Grids of Coherent States for Quantum Propagation; D. V. Shalashilin

The Direct Numerical Solution of the Quantum Hydrodynamic Equations of Motion; B. K. Kendrick

Bohmian Grids and the Numerics of Schrödinger Evolutions; D. A. Deckert, D. Dürr, and P. Pickl

Quantum Trajectory Dynamics in Imaginary and Real Time; Calculation of Reaction Rate Constants with an Approximate Quantum Potential; S. Garashchuk

A Dynamical Systems Approach to Bohmian Mechanics; F. Borondo

Index

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Editor(s)

Biography

Pratim Kumar Chattaraj is with the Department of Chemistry at the Indian Institute of Technology.