Quantum Dynamic Imaging Theoretical and Numerical Methods
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 tempor
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volumes: http://www.springer.com/series/3872
André D. Bandrauk • Misha Ivanov Editors
Quantum Dynamic Imaging Theoretical and Numerical Methods
Editors André D. Bandrauk Département de chimie Université de Sherbrooke Sherbrooke, QC J1K 2R1 Canada [email protected]
Misha Ivanov Department of Physics Imperial College London London United Kingdom [email protected]
e-ISBN 978-1-4419-9491-2 ISBN 978-1-4419-9490-5 DOI 10.1007/978-1-4419-9491-2 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011930185 © Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
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The “Quantum Dynamic Imaging” workshop, the first of its kind ever held in Canada, focused on the theoretical and mathematical problems associated with the imaging of quantum phenomena in matter from the femtosecond (1015 s) for nuclear motion to the attosecond (1018 s) for electron motion. Motion of a proton, one of the most important nuclei in chemistry and biology (e.g., DNA) has a natural time scale of 7 femtoseconds. Motion of electrons, responsible for chemical binding and electron transfer processes in natural phenomena, has a characteristic time scale of about 100 attoseconds (it takes an electron 152 attoseconds to go around the hydrogen atom). Both proton and electron motion can only be described by quantum mechanics, i.e., high dimension partial differential equations (HDPDEs). Furthermore such motions can only be monitored by ultrashort laser pulses. Thus the interaction of matter with such pulses can only be described by HDPDEs such as time-dependent Schr¨odinger and Dirac (for relativistic phenomena) equations coupled to the photons (Maxwell equations). The chapters of this book are based on lectures by invited speakers who are acknowledged experts in developing the necessary theories and numerical methods for treating photon-atom-molecule interactions in the nonlinear nonperturbative regime. In particular the generation of attosecond pulses is a spin-off of such theories of the nonlinear nonperturbative laser-matter interactions. The workshop was concerned with the mathematical problems and progress in developing and validating numerical methods used in the endeavor of imaging quantum p
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