CRM Proceedings & Lecture Notes 2003; 211 pp; softcover Volume: 33 ISBN10: 0821833308 ISBN13: 9780821833308 List Price: US$67 Member Price: US$53.60 Order Code: CRMP/33
 An entirely new branch of science now known as Laser Control of Molecular Processes is steadily making an impact on the experimental and technological worlds, with internationally distinguished scientists making many outstanding contributions. In parallel, mathematicians from control theory and numerical simulation are getting progressively involved and making their contributions to this scientific endeavor. This volume presents the proceedings of the workshop,Quantum Control: Mathematical and Numerical Challenges, held at the Centre de recherches mathématiques of the Université de Montréal (CRM). The workshop concentrated on advanced numerical methods and new mathematical control and optimization approaches and tools for the quantum control of matter at the molecular level using current laser technology. It brought together mathematicians, theoretical chemists, and physicists working in the area of control and optimization of systems to address the outstanding numerical and mathematical problems. The volume is suitable for graduate students and research mathematicians interested in mathematical methods of control of molecular processes. It will also be useful to chemical engineers and chemists working in control and optimization of systems. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students and research mathematicians interested in mathematical methods of control of molecular processes; chemical engineers; chemists. Table of Contents  O. Atabek and C. M. Dion  Molecular alignment and orientation: From laserinduced mechanisms to optimal control
 A. Auger, A. Ben HajYedder, and M. Schoenauer  Overview and software guide of evolutionary algorithms; A case study in quantum control
 A. D. Bandrauk, F. Légaré, and H. T. Yu  Laser control of molecular statesNonperturbative examples
 V. S. Batista and P. Brumer  Coherent control: Principles and semiclassical implementations
 G. Chen, D. A. Church, B.G. Englert, and M. S. Zubairy  Mathematical models of contemporary elementary quantum computing devices
 M. C. Delfour  Addendum and remarks on doubly conservative numerical schemes for the nonlinear Schrödinger equation and its control
 R. Illner, H. Lange, and H. Teismann  A note on the exact internal control of nonlinear Schrödinger equations
 C. Le Bris, Y. Maday, and G. Turinici  Towards efficient numerical approaches for quantum control
 H. LefebvreBrion  Multichannel quantum defect study of the control in the frequency domain: Example of HI
 Y. Ohtsuki and H. Rabitz  Development of solution algorithms for quantum optimal control equations in product spaces
 X.G. Wang and T. Carrington, Jr.  Using contracted basis functions to solve the Schrödinger equation
 E. Zuazua  Remarks on the controllability of the Schrödinger equation
