Demonstrates the application of DSM to solve a broad range of operator equationsThe dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear p
Quantum Dynamic Imaging: Theoretical and Numerical Methods
β Scribed by Gustavo Avila, Tucker Carrington Jr. (auth.), AndrΓ© D. Bandrauk, Misha Ivanov (eds.)
- Publisher
- Springer-Verlag New York
- Year
- 2011
- Tongue
- English
- Leaves
- 252
- Series
- CRM Series in Mathematical Physics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
- Presents the latest research results in ultrafast imaging of quantum phenomena
- Demonstrates the wide-ranging potential of quantum dynamic imaging for R&D in areas as diverse as optoelectronics, materials science, and quantum information
- Edited and written by international leaders in the field
β¦ Table of Contents
Front Matter....Pages i-xvi
Nonproduct Quadrature Grids: Solving the Vibrational SchrΓΆdinger Equation in 12d....Pages 1-12
Multi-Photon Single and Double Ionization of Complex Atoms by Ultrashort Intense Laser Pulses....Pages 13-22
Correlated Electron-Nuclear Motion Visualized Using a Wavelet Time-Frequency Analysis....Pages 23-35
A Theory of Dynamic Imaging of Coherent Molecular Rotations by High Harmonic Generation....Pages 37-53
The R -matrix Calculations of Orientation and Coulomb Phase Effects in ElectronβMolecule (Re-)Collisions....Pages 55-70
Visual Analysis of Quantum Physics Data....Pages 71-87
Theory of Dynamic Imaging of Molecules with Intense Infrared Laser Pulses....Pages 89-106
Ab Initio Methods for Few- and Many-Electron Atomic Systems in Intense Short-Pulse Laser Light....Pages 107-134
Strong-Field Ionization of Molecules: Simple Analytical Expressions....Pages 135-147
Recent Advances in Computational Methods for the Solution of the Time-Dependent SchrΓΆdinger Equation for the Interaction of Short, Intense Radiation with One and Two Electron Systems....Pages 149-208
Information of Electron Dynamics Embedded in Coupled Equations for Femtosecond Nuclear Wavepackets....Pages 209-231
Back Matter....Pages 233-236
β¦ Subjects
Quantum Optics;Physical Chemistry;Optical and Electronic Materials;Numerical and Computational Physics;Optics, Optoelectronics, Plasmonics and Optical Devices;Microwaves, RF and Optical Engineering
π SIMILAR VOLUMES
Demonstrates the application of DSM to solve a broad range of operator equationsThe dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear p
Demonstrates the application of DSM to solve a broad range of operator equationsThe dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear p
<b>Demonstrates the application of DSM to solve a broad range of operator equations</b><p>The dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and n
<p>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 readersβ prior knowledge
<p>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 readersβ prior knowledge