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 motionExplains the connection with conventional quantum mechanicsPresents various numerical techniques generated from the Bohmian approachDescribes the epistemological significance of quantum trajectoriesProvides an authoritative account of the foundations of quantum mechanics vis-à-vis that of the Bohmian mechanicsThe 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.
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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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Produktdetaljer

ISBN
9781439825617
Publisert
2010-11-01
Utgiver
Vendor
CRC Press Inc
Vekt
725 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
U, G, 05, 01
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
429

Om bidragsyterne

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