Title:
Quantum trajectories
Author:
Chattaraj, Pratim Kumar.
ISBN:
9781439825624
Publication Information:
Boca Raton : CRC Press, 2011.
Physical Description:
xix, 409 p. : ill.
Contents:
ch. 1. Bohmian trajectories as the foundation of quantum mechanics / Sheldon Goldstein, Roderich Tumulka, and Nino Zangh -- ch. 2. The equivalence postulate of quantum mechanics : main theorems / Alon E. Faraggi and Marco Matone -- ch. 3. Quantum trajectories and entanglement / Edward R. Floyd -- ch. 4. Quantum dynamics and supersymmetric quantum mechanics / Eric R. Bittner and Donald J. Kouri -- ch. 5. Quantum field dynamics from trajectories / Peter Holland -- ch. 6. The utility of quantum forces / Gary E. Bowman -- ch. 7. Quantum trajectories in phase space / Craig C. Martens, Arnaldo Donoso, and Yujun Zheng -- ch. 8. On the possibility of empirically probing the Bohmian model in terms of the testability of quantum arrival/Transit time distribution / Dipankar Home and Alok Kumar Pan -- ch. 9. Semiclassical implementation of Bohmian dynamics / Vitaly Rassolov and Sophya Garashchuk -- ch. 10. Mixed quantum/Classical dynamics : Bohmian and DVR stochastic trajectories / Christoph Meier, J. Alberto Beswick, and Tarik Yefsah -- ch. 11. A hybrid hydrodynamic-liouvillian approach to non-Markovian dynamics / Keith H. Hughes and Irene Burghardt -- ch. 12. Quantum fluid dynamics within the framework of density functional theory / Swapan K. Ghosh -- ch. 13. An account of quantum interference from a hydrodynamical perspective / ℓngel S. Sanz and Salvador Miret-Artš -- ch. 14. Quantum fluid density functional theory and chemical reactivity dynamics / Santanab Giri ... [et al.] -- ch. 15. Bipolar quantum trajectory methods / Bill Poirier -- ch. 16. Nondifferentiable Bohmian trajectories / Gebhard Gr¿bl and Markus Penz -- ch. 17. Nonadiabatic dynamics with quantum trajectories / Gřard Parlant -- ch. 18. Recent analytical studies of complex quantum trajectories / Chia-Chun Chou and Robert E. Wyatt -- ch. 19. Modified de Broglian mechanics and the dynamical origin of quantum probability / Moncy V. John -- ch. 20. Types of trajectory guided grids of coherent states for quantum propagation / Dmitrii V. Shalashilin -- ch. 21. Direct numerical solution of the quantum hydrodynamic equations of motion / Brian K. Kendrick -- ch. 22. Bohmian grids and the numerics of Schrd̲inger evolutions / D.-A. Deckert, D. D¿rr, and P. Pickl -- ch. 23. Approximate quantum trajectory dynamics in imaginary and real time : calculation of reaction rate constants / Sophya Garashchuk -- ch. 24. Dynamical systems approach to Bohmian mechanics / F. Borondo.
Abstract:
"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"-- Provided by publisher.
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