Quantum Trajectories

Author:   Pratim Kumar Chattaraj
Publisher:   Taylor & Francis Inc
ISBN:  

9781439825617


Pages:   429
Publication Date:   01 November 2010
Format:   Hardback
Availability:   In Print   Availability explained
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Quantum Trajectories


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Overview

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 Broglie 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-a-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.

Full Product Details

Author:   Pratim Kumar Chattaraj
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Weight:   0.725kg
ISBN:  

9781439825617


ISBN 10:   1439825610
Pages:   429
Publication Date:   01 November 2010
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Bohmian Trajectories as the Foundation of Quantum Mechanics. The Equivalence Postulate of Quantum. Quantum Trajectories and Entanglement. Quantum Dynamics and Supersymmetric Quantum Mechanics. Quantum Field Dynamics from Trajectories. The Utility of Quantum Forces. Quantum Trajectories in Phase Space. On the Possibility of Empirically Probing the Bohmian Model in Terms of the Testability of Quantum Arrival/Transit Time Distribution. Semiclassical Implementation of Bohmian Dynamics. Mixed Quantum/Classical Dynamics: Bohmian and DVR Stochastic Trajectories. A Hybrid Hydrodynamic–Liouvillian Approach to Non-Markovian Dynamics.Quantum Fluid DynamicsWithin the Framework of Density Functional Theory. An Account of Quantum Interference from a Hydrodynamical Perspective. Quantum Fluid Density Functional Theory and Chemical Reactivity Dynamics. Bipolar Quantum Trajectory Methods. Nondifferentiable Bohmian Trajectories.Nonadiabatic Dynamics with Quantum Trajectories. Recent Analytical Studies of Complex Quantum Trajectories. Modified de Broglian Mechanics and the Dynamical Origin of Quantum Probability. Types of Trajectory Guided Grids of Coherent States for Quantum Propagation. The Direct Numerical Solution of the Quantum Hydrodynamic Equations of Motion. Bohmian Grids and the Numerics of Schrödinger Evolutions. Quantum Trajectory Dynamics in Imaginary and Real Time; Calculation of Reaction Rate Constants with an Approximate Quantum Potential. A Dynamical Systems Approach to Bohmian Mechanics. Index.

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

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