Quantum Trajectories
1st Edition
Published on 22. May 2017
Book
Paperback/Softback
429 pages
978-1-138-11473-9 (ISBN)
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 Broeglie 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.
Emphasizing a classical interpretation of quantum mechanics as developed by de Broeglie 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.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Graduate students, post-doctorates, and researchers in chemistry and physics, especially those with an interest in quantum dynamics and computational techniques.
Illustrations
93 s/w Abbildungen, 4 s/w Tabellen
4 Tables, black and white; 93 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 23 mm
Weight
655 gr
ISBN-13
978-1-138-11473-9 (9781138114739)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Pratim Kumar Chattaraj
Quantum Trajectories
E-Book
04/2016
1st Edition
CRC Press
€104.99
Available for download
Pratim Kumar Chattaraj
Quantum Trajectories
Book
11/2010
1st Edition
CRC Press
€298.80
Shipment within 15-20 days
Person
Pratim Kumar Chattaraj is with the Department of Chemistry at the Indian Institute of Technology.
Content
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 Schroedinger 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.