Quantum control : mathematical and numerical challenges : CRM workshop, October 6-11, 2002, Montréal, Canada

書誌事項

Quantum control : mathematical and numerical challenges : CRM workshop, October 6-11, 2002, Montréal, Canada

André D. Bandrauk, Michel C. Delfour, Claude Le Bris, editors

(CRM proceedings & lecture notes, v. 33)

American Mathematical Society, c2003

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注記

Includes bibliographical references

内容説明・目次

内容説明

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 mathematiques of the Universite de Montreal (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.

目次

  • Molecular alignment and orientation: From laser-induced mechanisms to optimal control by O. Atabek and C. M. Dion Overview and software guide of evolutionary algorithms
  • A case study in quantum control by A. Auger, A. Ben Haj-Yedder, and M. Schoenauer Laser control of molecular states--Nonperturbative examples by A. D. Bandrauk, F. Legare, and H. T. Yu Coherent control: Principles and semiclassical implementations by V. S. Batista and P. Brumer Mathematical models of contemporary elementary quantum computing devices by G. Chen, D. A. Church, B.-G. Englert, and M. S. Zubairy Addendum and remarks on doubly conservative numerical schemes for the nonlinear Schrodinger equation and its control by M. C. Delfour A note on the exact internal control of nonlinear Schrodinger equations by R. Illner, H. Lange, and H. Teismann Towards efficient numerical approaches for quantum control by C. Le Bris, Y. Maday, and G. Turinici Multichannel quantum defect study of the control in the frequency domain: Example of HI by H. Lefebvre-Brion Development of solution algorithms for quantum optimal control equations in product spaces by Y. Ohtsuki and H. Rabitz Using contracted basis functions to solve the Schrodinger equation by X.-G. Wang and T. Carrington, Jr. Remarks on the controllability of the Schrodinger equation by E. Zuazua.

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