Formulation and numerical solution of quantum control problems /
Borz,︡ Alfio.
Formulation and numerical solution of quantum control problems / Book / A. Borz,︡ G. Ciaramella, Switzerland, M. Sprengel. - x, 390 pages : illustrations ; 25 cm. - Computational science and engineering ; .
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 Schro·dinger 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
All. All
9781611947836 (hardback)
2017014385
Quantum systems.
Control theory.
Schrd̲inger equation.
Climatic changes--Moral and ethical aspects--Environmental ethics
Global environmental change--Moral and ethical aspects--Ethics
Sustainability--Climatic changes
Applied ethics--Ethics
Biosciences--
Biochemistry & Molecular Biology--
Gastric cancer--EBV virus.
Helicobacter pylori infection--Deregulated apoptosis.
530.12011
Formulation and numerical solution of quantum control problems / Book / A. Borz,︡ G. Ciaramella, Switzerland, M. Sprengel. - x, 390 pages : illustrations ; 25 cm. - Computational science and engineering ; .
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 Schro·dinger 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
All. All
9781611947836 (hardback)
2017014385
Quantum systems.
Control theory.
Schrd̲inger equation.
Climatic changes--Moral and ethical aspects--Environmental ethics
Global environmental change--Moral and ethical aspects--Ethics
Sustainability--Climatic changes
Applied ethics--Ethics
Biosciences--
Biochemistry & Molecular Biology--
Gastric cancer--EBV virus.
Helicobacter pylori infection--Deregulated apoptosis.
530.12011