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1. |
Record Nr. |
UNINA9910438036103321 |
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Autore |
Knopov Pavel S |
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Titolo |
Estimation and control problems for stochastic partial differential equations / / Pavel S. Knopov, Olena N. Deriyeva |
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Pubbl/distr/stampa |
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New York : , : Springer, , 2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (x, 183 pages) |
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Collana |
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Springer Optimization and Its Applications, , 1931-6828 ; ; 83 |
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Disciplina |
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Soggetti |
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Stochastic partial differential equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1. Two Parameter Martingales and Their Properties -- 2. Stochastic Differential Equations on the Plane -- 3. Filtration and Prediction Problems for Stochastic Fields -- 4. Control Problem for Diffusion-Type Random Fields -- 5. Stochastic Processes in a Hilbert Space -- References. |
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Sommario/riassunto |
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Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents research that has not previously been covered. More generally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes in turbulence theory, fluid mechanics, hydrology, astronomy, and meteorology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monograph can be used for education courses on the estimation and control theory of random fields. |
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2. |
Record Nr. |
UNINA9910437977703321 |
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Autore |
Scheck Florian |
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Titolo |
Quantum Physics / / by Florian Scheck |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
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ISBN |
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Edizione |
[2nd ed. 2013.] |
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Descrizione fisica |
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1 online resource (765 p.) |
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Disciplina |
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Soggetti |
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Quantum theory |
Mathematical physics |
Quantum Physics |
Mathematical Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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From the Uncertainty Relation to Many-Body Systems -- Quantum Mechanics of Point Particles -- Scattering of Particles by Potentials -- The Principles of Quantum Theory -- Space-Time Symmetries in Quantum Physics -- Applications of Quantum Mechanics -- From Symmetries in Quantum Physics to Electroweak Interactions -- Symmetries and Symmetry Groups in Quantum Physics -- Quantized Fields and their Interpretation -- Scattering Matrix and Observables in Scattering and Decays -- Particles with Spin 1/2 and the Dirac Equation -- Elements of Quantum Electrodynamics and Weak Interactions. |
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Sommario/riassunto |
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Scheck’s Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertainty relations to many-body systems. Part Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions or hints, enables the book’s use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices covering mathematical fundamentals and enrichment |
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topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory. The new edition was thoroughly revised and now includes new sections on quantization using the path integral method and on deriving generalized path integrals for bosonic and fermionic fields. |
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