Formulation and numerical solution of quantum control problems / A. Borzì, Universität Würzburg, Würzburg, Germany, G. Ciaramella, Université de Genève, Genève, Switzerland, M. Sprengel, Universität Würzburg, Würzburg, Germany.
Saved in:
| Online Access: |
Full Text (via SIAM) |
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| Main Author: | |
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Philadelphia :
Society for Industrial and Applied Mathematics,
[2017]
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| Series: | Computational science and engineering.
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| Subjects: |
| Abstract: | This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schrödinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose-Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. |
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| Physical Description: | 1 online resource. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781611974843 1611974844 |
| Source of Description, Etc. Note: | Description based on print version record and CIP data provided by publisher. |