Quantum Trajectories

Herausgeber: Chattaraj, Pratim Kumar

• Gebundenes Buch

Produktbeschreibung

"Applying quantum mechanics to many-particle systems is an active area of research. The popularity of using quantum trajectories as a computational tool has exploded over the last decade, finally bringing this methodology to the level of practical application. This book explores this powerful tool to efficiently solve both static and time-dependent systems across a large area of quantum mechanics. Many of the pioneers who have either developed the subject from its inception or have improved on the subject contribute to this volume. They offer their insights on Lagrangian and Eulerian methods as well as various mixed quantum-classical techniques, among other topics"--

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The quantum trajectory method provides an efficient computational technique for solving both stationary and time-evolving states, encompassing a large area of quantum mechanics. This volume brings the expertise of an international panel of experts who focus on the epistemological significance of quantum mechanics through the quantum theory of motion. The book explains the connection with conventional quantum mechanics and presents various numerical techniques generated from the Bohmian approach. It also describes the epistemological significance of quantum trajectories and provides an authoritative account of the foundations of quantum mechanics vis-à-vis that of the Bohmian mechanics.

Produktdetails

• Verlag: Taylor & Francis Ltd (Sales)
• Seitenzahl: 429
• Erscheinungstermin: 1. November 2010
• Englisch
• Abmessung: 234mm x 156mm x 24mm
• Gewicht: 776g
• ISBN-13: 9781439825617
• ISBN-10: 1439825610
• Artikelnr.: 31078266

Autorenporträt

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

Inhaltsangabe

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.