Quantum Trajectories

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 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-à-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.

Bohmian Trajectories as the Foundation of Quantum Mechanics; S. Goldstein, R. Tumulka, and N. ZanghìThe Equivalence Postulate of Quantum; A. E. Faraggi and M. MatoneQuantum Trajectories and Entanglement; E. R. FloydQuantum Dynamics and Supersymmetric Quantum Mechanics; E. R. Bittner and D.J. KouriQuantum Field Dynamics from Trajectories; P. HollandThe Utility of Quantum Forces; G. E. BowmanQuantum Trajectories in Phase Space; C. C. Martens, A. Donoso, and Y. ZhengOn the Possibility of Empirically Probing the Bohmian Model in Terms of the Testability of Quantum Arrival/Transit Time Distribution; D. Home and A. K. PanSemiclassical Implementation of Bohmian Dynamics; V. Rassolov and S. GarashchukMixed Quantum/Classical Dynamics: Bohmian and DVR Stochastic Trajectories; C. Meier, J. A. Beswick, and T. YefsahA Hybrid Hydrodynamic–Liouvillian Approach to Non-Markovian Dynamics; K. H. Hughes and I. BurghardtQuantum Fluid DynamicsWithin the Framework of Density Functional Theory; S. K. GhoshAn Account of Quantum Interference from a Hydrodynamical Perspective; A.S. Sanz and S. Miret-ArtésQuantum Fluid Density Functional Theory and Chemical Reactivity Dynamics; S. Giri, S. Duley, M. Khatua, U.Sarkar, and P. K. ChattarajBipolar Quantum Trajectory Methods; B. PoirierNondifferentiable Bohmian Trajectories; G. Grübl and M. PenzNonadiabatic Dynamics with Quantum Trajectories; G. ParlantRecent Analytical Studies of Complex Quantum Trajectories; C.-C. Chou and R. E. WyattModified de Broglian Mechanics and the Dynamical Origin of Quantum Probability; M. V. JohnTypes of Trajectory Guided Grids of Coherent States for Quantum Propagation; D. V. ShalashilinThe Direct Numerical Solution of the Quantum Hydrodynamic Equations of Motion; B. K. KendrickBohmian Grids and the Numerics of Schrödinger Evolutions; D. A. Deckert, D. Dürr, and P. PicklQuantum Trajectory Dynamics in Imaginary and Real Time; Calculation of Reaction Rate Constants with an Approximate Quantum Potential; S. GarashchukA Dynamical Systems Approach to Bohmian Mechanics; F. BorondoIndex

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