Quantum Dynamic Imaging

Theoretical and Numerical Methods

  • André D. Bandrauk
  • Misha Ivanov

Part of the CRM Series in Mathematical Physics book series (CRM)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. K. Bartschat, X. Guan, C. J. Noble, B. I. Schneider, O. Zatsarinny
    Pages 13-22
  3. André D. Bandrauk, Szczepan Chelkowski, Huizhong Lu
    Pages 23-35
  4. Hans-Christian Hege, Michael Koppitz, Falko Marquardt, Chris McDonald, Christopher Mielack
    Pages 71-87
  5. C. D. Lin, Anh-Thu Le, Zhangjin Chen
    Pages 89-106
  6. M. A. Lysaght, L. R. Moore, L. A. A. Nikolopoulos, J. S. Parker, H. W. van der Hart, K. T. Taylor
    Pages 107-134
  7. Ryan Murray, Serguei Patchkovskii, Olga Smirnova, Misha Yu. Ivanov
    Pages 135-147
  8. Back Matter
    Pages 233-236

About this book


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


Femto-Attosecond Laser Science book Laser Imaging Instructions Laser Induced Electron Diffraction book Orbital Tomography book Quantum images Visualization of Molecular Dynamics book molecular dynamics imaging book

Editors and affiliations

  • André D. Bandrauk
    • 1
  • Misha Ivanov
    • 2
  1. 1., Département de chimieUniversité de SherbrookeSherbrookeCanada
  2. 2.Department of PhysicsImperial College LondonLondonUnited Kingdom

Bibliographic information