Numerical Quantum Dynamics
DOWNLOAD eBooks
Download Numerical Quantum Dynamics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Numerical Quantum Dynamics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Numerical Quantum Dynamics
DOWNLOAD eBooks
Author : W. Schweizer
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Numerical Quantum Dynamics written by W. Schweizer 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 2006-04-11 with Science categories.
It is an indisputable fact that computational physics form part of the essential landscape of physical science and physical education. When writing such a book, one is faced with numerous decisions, e. g. : Which topics should be included? What should be assumed about the readers’ prior knowledge? How should balance be achieved between numerical theory and physical application? This book is not elementary. The reader should have a background in qu- tum physics and computing. On the other way the topics discussed are not addressed to the specialist. This work bridges hopefully the gap between - vanced students, graduates and researchers looking for computational ideas beyond their fence and the specialist working on a special topic. Many imp- tant topics and applications are not considered in this book. The selection is of course a personal one and by no way exhaustive and the material presented obviously reflects my own interest. What is Computational Physics? During the past two decades computational physics became the third fun- mental physical discipline. Like the ‘traditional partners’ experimental physics and theoretical physics, computational physics is not restricted to a special area, e. g. , atomic physics or solid state physics. Computational physics is a meth- ical ansatz useful in all subareas and not necessarily restricted to physics. Of course this methods are related to computational aspects, which means nume- cal and algebraic methods, but also the interpretation and visualization of huge amounts of data.
Quantum Dynamic Imaging
DOWNLOAD eBooks
Author : Andre D Bandrauk
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-12
Quantum Dynamic Imaging written by Andre D Bandrauk 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 2011-07-12 with Science categories.
Studying and using light or "photons" to image and then to control and transmit molecular information is among the most challenging and significant research fields to emerge in recent years. One of the fastest growing areas involves research in the temporal imaging of quantum phenomena, ranging from molecular dynamics in the femto (10-15s) time regime for atomic motion to the atto (10-18s) time scale of electron motion. In fact, the attosecond "revolution" is now recognized as one of the most important recent breakthroughs and innovations in the science of the 21st century. A major participant in the development of ultrafast femto and attosecond temporal imaging of molecular quantum phenomena has been theory and numerical simulation of the nonlinear, non-perturbative response of atoms and molecules to ultrashort laser pulses. Therefore, imaging quantum dynamics is a new frontier of science requiring advanced mathematical approaches for analyzing and solving spatial and temporal multidimensional partial differential equations such as Time-Dependent Schroedinger Equations (TDSE) and Time-Dependent Dirac equations (TDDEs for relativistic phenomena). These equations are also coupled to the photons in Maxwell's equations for collective propagation effects. Inversion of the experimental imaging data of quantum dynamics presents new mathematical challenges in the imaging of quantum wave coherences on subatomic (subnanometer) spatial dimensions and multiple timescales from atto to femto and even nanoseconds. In Quantum Dynamic Imaging: Theoretical and Numerical Methods, leading researchers discuss these exciting state-of-the-art developments and their implications for R&D in view of the promise of quantum dynamic imaging science as the essential tool for controlling matter at the molecular level.
From Quantum To Classical Molecular Dynamics
DOWNLOAD eBooks
Author : Christian Lubich
language : en
Publisher: European Mathematical Society
Release Date : 2008
From Quantum To Classical Molecular Dynamics written by Christian Lubich and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
Quantum dynamics of molecules poses a variety of computational challenges that are presently at the forefront of research efforts in numerical analysis in a number of application areas: high-dimensional partial differential equations, multiple scales, highly oscillatory solutions, and geometric structures such as symplecticity and reversibility that are favourably preserved in discretizations. This text addresses such problems in quantum mechanics from the viewpoint of numerical analysis, illustrating them to a large extent on intermediate models between the Schrodinger equation of full many-body quantum dynamics and the Newtonian equations of classical molecular dynamics. The fruitful interplay between quantum dynamics and numerical analysis is emphasized.
Quantum Dynamic Imaging
DOWNLOAD eBooks
Author : Andre D. Bandrauk
language : en
Publisher: Springer
Release Date : 2011-07-12
Quantum Dynamic Imaging written by Andre D. Bandrauk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-12 with Science categories.
Studying and using light or "photons" to image and then to control and transmit molecular information is among the most challenging and significant research fields to emerge in recent years. One of the fastest growing areas involves research in the temporal imaging of quantum phenomena, ranging from molecular dynamics in the femto (10-15s) time regime for atomic motion to the atto (10-18s) time scale of electron motion. In fact, the attosecond "revolution" is now recognized as one of the most important recent breakthroughs and innovations in the science of the 21st century. A major participant in the development of ultrafast femto and attosecond temporal imaging of molecular quantum phenomena has been theory and numerical simulation of the nonlinear, non-perturbative response of atoms and molecules to ultrashort laser pulses. Therefore, imaging quantum dynamics is a new frontier of science requiring advanced mathematical approaches for analyzing and solving spatial and temporal multidimensional partial differential equations such as Time-Dependent Schroedinger Equations (TDSE) and Time-Dependent Dirac equations (TDDEs for relativistic phenomena). These equations are also coupled to the photons in Maxwell's equations for collective propagation effects. Inversion of the experimental imaging data of quantum dynamics presents new mathematical challenges in the imaging of quantum wave coherences on subatomic (subnanometer) spatial dimensions and multiple timescales from atto to femto and even nanoseconds. In Quantum Dynamic Imaging: Theoretical and Numerical Methods, leading researchers discuss these exciting state-of-the-art developments and their implications for R&D in view of the promise of quantum dynamic imaging science as the essential tool for controlling matter at the molecular level.
Quantum Dynamics With Trajectories
DOWNLOAD eBooks
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 Dynamics For Classical Systems
DOWNLOAD eBooks
Author : Fabio Bagarello
language : en
Publisher: John Wiley & Sons
Release Date : 2012-10-11
Quantum Dynamics For Classical Systems written by Fabio Bagarello and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-11 with Science categories.
Introduces number operators with a focus on the relationshipbetween quantum mechanics and social science Mathematics is increasingly applied to classical problems infinance, biology, economics, and elsewhere. Quantum Dynamics forClassical Systems describes how quantum tools—the numberoperator in particular—can be used to create dynamicalsystems in which the variables are operator-valued functions andwhose results explain the presented model. The book presentsmathematical results and their applications to concrete systems anddiscusses the methods used, results obtained, and techniquesdeveloped for the proofs of the results. The central ideas of number operators are illuminated whileavoiding excessive technicalities that are unnecessary forunderstanding and learning the various mathematical applications.The presented dynamical systems address a variety of contexts andoffer clear analyses and explanations of concluded results.Additional features in Quantum Dynamics for ClassicalSystems include: Applications across diverse fields including stock markets andpopulation migration as well as a unique quantum perspective onthese classes of models Illustrations of the use of creation and annihilation operatorsfor classical problems Examples of the recent increase in research and literature onthe many applications of quantum tools in applied mathematics Clarification on numerous misunderstandings and misnomers whileshedding light on new approaches in the field Quantum Dynamics for Classical Systems is an idealreference for researchers, professionals, and academics in appliedmathematics, economics, physics, biology, and sociology. The bookis also excellent for courses in dynamical systems, quantummechanics, and mathematical models.
Computational Strong Field Quantum Dynamics
DOWNLOAD eBooks
Author : Dieter Bauer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-04-24
Computational Strong Field Quantum Dynamics written by Dieter Bauer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-24 with Science categories.
This graduate textbook introduces the com-putational techniques to study ultra-fast quantum dynamics of matter exposed to strong laser fields. Coverage includes methods to propagate wavefunctions according to the time dependent Schrödinger, Klein-Gordon or Dirac equation, the calculation of typical observables, time-dependent density functional theory, multi configurational time-dependent Hartree-Fock, time-dependent configuration interaction singles, the strong-field approximation, and the microscopic particle-in-cell approach. Contents How to propagate a wavefunction? Calculation of typical strong-field observables Time-dependent relativistic wave equations: Numerics of the Dirac and the Klein-Gordon equation Time-dependent density functional theory The multiconfiguration time-dependent Hartree-Fock method Time-dependent configuration interaction singles Strong-field approximation and quantum orbits Microscopic particle-in-cell approach
Numerical Analysis And Computational Methods For Non Adiabatic Quantum Dynamics And Biological Models
DOWNLOAD eBooks
Author : Di Fang
language : en
Publisher:
Release Date : 2019
Numerical Analysis And Computational Methods For Non Adiabatic Quantum Dynamics And Biological Models written by Di Fang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Focused on the numerical analysis and computational methods, this dissertation consists of two independent parts: quantum dynamics (Part I) and biological models (Part II). Non-adiabatic phenomena are ubiquitous in quantum systems, where the excited states come into the play and hence the commonly applied Born-Oppenheimer approximation is no longer valid. In this dissertation, efficient algorithms are proposed (a) for the quantum-classical mixed Ehrenfest dynamics and (b) in diabatic representations, respectively. The former provides an efficient algorithm for mean-field dynamics that has the form of a nonlinear Schr\"odinger system in low dimension, while the latter proposes an embarrassingly parallel algorithm compatible for high-dimensional problems near the transition zone, which even works when adiabatic coupling terms (appearing in traditional methods) are not defined. Here both multiscale and stochastic techniques are used. Part II of this thesis discusses the two biological phenomena -- the formation, adaptation and bifurcation of biological transport networks, such as leaf venations and blood vessels, and the subdiffusion observed in bio-molecular systems -- and their corresponding models described by either nonlinear partial differential equations or stochastic differential equations. To understand the model behaviors and predict phenomena, numerical simulations are desired. Unfortunately, the computations are expensive for both cases due to the nonlinearity of the former and memory effects in the latter. In this part, we propose efficient algorithms for both models and provide numerical analysis to our schemes to illustrate the accuracy and efficiency of the methods.
Quantum Dynamics Of Simple Systems
DOWNLOAD eBooks
Author : Gian-Luca Oppo
language : en
Publisher: CRC Press
Release Date : 1996
Quantum Dynamics Of Simple Systems written by Gian-Luca Oppo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Art categories.
Quantum Dynamics of Simple Systems will prove a useful tool for graduate students as well as experienced physicists and contains contributions from many leading experts in the field of Quantum Systems. The main objective is to provide an overview of the present range of Quantum Toys and to instruct newcomers in their use and exotic behaviours. In this respect it covers specific subjects of quantum dynamics in a competent and detailed way with the emphasis upon simple systems where few atoms or electrons are involved.
Classical And Quantum Dynamics
DOWNLOAD eBooks
Author : Walter Dittrich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Classical And Quantum Dynamics written by Walter Dittrich 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 2012-12-06 with Science categories.
Physics students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here a detailed treatment many worked examples. This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces.