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.

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

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.