Quantum Dynamics With Trajectories
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Quantum Dynamics With Trajectories
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Author : Robert E. Wyatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-28
Quantum Dynamics With Trajectories written by Robert E. Wyatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-28 with Mathematics categories.
This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers
Quantum Trajectories
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Author : Pratim Kumar Chattaraj
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Quantum Trajectories written by Pratim Kumar Chattaraj and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
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 o
Multidimensional Quantum Mechanics With Trajectories
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Author : Dimitrii V. Shalashilin
language : en
Publisher:
Release Date : 2009
Multidimensional Quantum Mechanics With Trajectories written by Dimitrii V. Shalashilin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Quantum theory categories.
Quantum Trajectories And Measurements In Continuous Time
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Author : Alberto Barchielli
language : en
Publisher: Springer
Release Date : 2009-07-11
Quantum Trajectories And Measurements In Continuous Time written by Alberto Barchielli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-11 with Science categories.
Quantum trajectory theory is largely employed in theoretical quantum optics and quantum open system theory and is closely related to the conceptual formalism of quantum mechanics (quantum measurement theory). However, even research articles show that not all the features of the theory are well known or completely exploited. We wrote this monograph mainly for researchers in theoretical quantum optics and related ?elds with the aim of giving a self-contained and solid p- sentation of a part of quantum trajectory theory (the diffusive case) together with some signi?cant applications (mainly with purposes of illustration of the theory, but which in part have been recently developed). Another aim of the monograph is to introduce to this subject post-graduate or PhD students. To help them, in the most mathematical and conceptual chapters, summaries are given to ?x ideas. Moreover, as stochastic calculus is usually not in the background of the studies in physics, we added Appendix A to introduce these concepts. The book is written also for ma- ematicians with interests in quantum theories. Quantum trajectory theory is a piece of modern theoretical physics which needs an interplay of various mathematical subjects, such as functional analysis and probability theory (stochastic calculus), and offers to mathematicians a beautiful ?eld for applications, giving suggestions for new mathematical developments.
A Trajectory Description Of Quantum Processes Ii Applications
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Author : Ángel S. Sanz
language : en
Publisher: Springer
Release Date : 2013-09-13
A Trajectory Description Of Quantum Processes Ii Applications written by Ángel S. Sanz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-13 with Science categories.
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 alternative and complementary way to better understand the underlying quantum dynamics.
Quantum Dynamics Of Complex Molecular Systems
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Author : David A. Micha
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-22
Quantum Dynamics Of Complex Molecular Systems written by David A. Micha and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Science categories.
Quantum phenomena are ubiquitous in complex molecular systems - as revealed by many experimental observations based upon ultrafast spectroscopic techniques - and yet remain a challenge for theoretical analysis. The present volume, based on a May 2005 workshop, examines and reviews the state-of-the-art in the development of new theoretical and computational methods to interpret the observed phenomena. Emphasis is on complex molecular processes involving surfaces, clusters, solute-solvent systems, materials, and biological systems. The research summarized in this book shows that much can be done to explain phenomena in systems excited by light or through atomic interactions. It demonstrates how to tackle the multidimensional dynamics arising from the atomic structure of a complex system, and addresses phenomena in condensed phases as well as phenomena at surfaces. The chapters on new methodological developments cover both phenomena in isolated systems, and phenomena which involve the statistical effects of an environment, such as fluctuations and dissipation. The methodology part explores new rigorous ways to formulate mixed quantum-classical dynamics in many dimensions, along with new ways to solve a many-atom Schroedinger equation, or the Liouville-von Neumann equation for the density operator, using trajectories and ideas related to hydrodynamics. Part I treats applications to complex molecular systems, and Part II covers new theoretical and computational methods
Bohmian Mechanics Open Quantum Systems And Continuous Measurements
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Author : Antonio B. Nassar
language : en
Publisher: Springer
Release Date : 2017-03-14
Bohmian Mechanics Open Quantum Systems And Continuous Measurements written by Antonio B. Nassar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-14 with Science categories.
This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.
Quantum Dynamics Of A Particle In A Tracking Chamber
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Author : Rodolfo Figari
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-22
Quantum Dynamics Of A Particle In A Tracking Chamber written by Rodolfo Figari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
In the original formulation of quantum mechanics the existence of a precise border between a microscopic world, governed by quantum mechanics, and a macroscopic world, described by classical mechanics was assumed. Modern theoretical and experimental physics has moved that border several times, carefully investigating its definition and making available to observation larger and larger quantum systems. The present book examines a paradigmatic case of the transition from quantum to classical behavior: A quantum particle is revealed in a tracking chamber as a trajectory obeying the laws of classical mechanics. The authors provide here a purely quantum-mechanical description of this behavior, thus helping to illuminate the nature of the border between the quantum and the classical.
Classical Semiclassical And Quantum Dynamics In Atoms
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Author : Harald Friedrich
language : en
Publisher: Springer
Release Date : 1997-06-19
Classical Semiclassical And Quantum Dynamics In Atoms written by Harald Friedrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-19 with Computers categories.
Content Description #Includes bibliographical references and index.
A Trajectory Description Of Quantum Processes I Fundamentals
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Author : Ángel S. Sanz
language : en
Publisher: Springer
Release Date : 2012-03-27
A Trajectory Description Of Quantum Processes I Fundamentals written by Ángel S. Sanz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-27 with Science categories.
Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at 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 first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.