A trajectory description of quantum processes v. 2 Applications

Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of 'classical' concepts. Beginning as an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This second volume is focussed on simple and basic applications of quantum processes such as interference and diffraction of wave packets, tunneling, diffusion and bound-state and scattering problems. The corresponding analysis is carried out within the Bohmian framework. By stressing its interpretational aspects, the book leads the reader to an alternativeand complementary way to better understand the underlying quantum dynamics. Thorough introduction to, and treatment of, trajectory-based quantum-mechanical calculationsUseful for a wide range of scattering problems INDICE: PART I: QUANTUM ELEMENTS IN CLASSICAL PHYSICS. Brief introduction:Waves in the classical world. Optics. From Newton to Hamilton-Jacobi. Many particles. Waves in classical mechanics: Matter waves in the classical world. PART II: STANDARD FORMULATIONS OF QUANTUM MECHANICS. Brief introduction: The oldPlanck-Einstein quantum mechanics and the advent of quantum physics: From theblack-body radiation to the double-slit experiment. Heisenberg’s formulation of quantum mechanics. Schrödinger’s formulation of quantum mechanics. Intermediate formulations of quantum mechanics. Feynman’s formulation of quantum mechanics: A first classical-like trial to quantum mechanics. Approximate approaches to quantum mechanics. PART III: THE TRAJECTORY FORMULATION OF QUANTUM MECHANICS. First steps towards a quantum theory of motion. The quantum Hamilton-Jacobi formulation in real space. The quantum Hamilton-Jacobi formulation in complex space. Many-body physics and quantum trajectories. Quantum trajectories as a computational tool. PART IV: OTHER TRAJECTORY APPROACHES TO DESCRIBE AND EXPLAIN QUANTUM PHENOMENA. Brief introduction: Alternative conceptual and computational alternatives to the quantum Hamilton-Jacobi approach. Quasi-classical trajectories. Quantum trajectories from approximate ansatzes. Mixed quantum-classical mechanics. Stochastic trajectories. PART V: APPLICATIONS. Brief introduction: A personal view on quantum physics from a trajectory perspective. Simple problems. Systems of slits: interference and diffraction. Scattering problems. Physics of bound systems. EPILOG: Present and future of trajectories in quantum mechanics.

• ISBN: 978-3-642-17973-0
• Editorial: Springer Berlin Heidelberg
• Encuadernacion: Cartoné
• Páginas: 250
• Fecha Publicación: 15/07/2011
• Nº Volúmenes: 1
• Idioma: Inglés