Introduction to Quantum Control and Dynamics

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CRC Press, 3 ago 2007 - 360 pagine
The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics presents the mathematical concepts and fundamental ph
 

Sommario

Quantum Mechanics
1
Modeling of Quantum Control Systems Examples
35
Controllability
75
Observability and State Determination
107
Lie Group Decompositions and Control
123
Optimal Control of Quantum Systems
157
More Tools for Quantum Control
191
Analysis of Quantum Evolutions Entanglement Entanglement Measures and Dynamics
217
Positive and Completely Positive Maps Quantum Operations and Generalized Measurement Theory
287
Lagrangian and Hamiltonian Formalism in Classical Electrodynamics
291
Cartan Semisimplicity Criterion and Calculation of the Levi Decomposition
305
Proof of the Controllability Test of Theorem 321
309
The BakerCampbellHausdorff Formula and Some Exponential Formulas
315
Proof of Theorem 621
317
References
321
Index
337

Applications of Quantum Control and Dynamics
261
Appendices
285

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