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Quantum Probability Communications : Qp-Pq (Volumes 11).
Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2003.
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| Colección: | Qp-Pq: Quantum Probability & White Noise Analysis S.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 1 | 0 | |a Quantum Probability Communications : |b Qp-Pq (Volumes 11). |
| 260 | |a Singapore : |b World Scientific Publishing Company, |c 2003. | ||
| 300 | |a 1 online resource (314 pages) | ||
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| 490 | 1 | |a Qp-Pq: Quantum Probability & White Noise Analysis S. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will be engaged, informed and inspired by the contents of these two volumes. An extensive bibliography containing the references from all the lectures is included in Volume 12. Contents:.: Extensions of Quantum Stochastic Calculus (S Attal); Quantum Itô; Algebras: Axioms, Representations, Decompositions. | ||
| 505 | 0 | |a CONTENTS -- CONTENTS of QPC XII -- PREFACE for QPC Volumes XI & XII -- EXTENSIONS OF QUANTUM STOCHASTIC CALCULUS -- 1. ABSTRACT ITÃ? CALCULUS ON FOCK SPACE -- 1.1. Short notations. -- 1.2. ItÃ? calculus on Fock space. -- 1.3. The ItÃ? integral is really an integral. -- 1.4. Probabilistic interpretations of Fock space. -- 2. EXTENSION OF QUANTUM STOCHASTIC CALCULUS -- 2.1. A heuristic approach to noise. -- 2.2. Extension of quantum stochastic integrals. -- 2.3. Back to probabilistic interpretations. -- 3. THE ALGEBRA OF REGULAR QUANTUM SEMIMARTINGALES | |
| 505 | 8 | |a 3.1. Everywhere defined quantum stochastic integrals.3.2. The algebra of regular quantum semimartingales. -- 3.3. Quantum brackets. -- 4. SOME RECENT DEVELOPMENTS -- 4.1. Functional quantum ItÃ? formulae. -- 4.2. A remarkable transform of quantum processes. -- BIBLIOGRAPHICAL NOTES -- REFERENCES -- QUANTUM ITÃ? ALGEBRAS: AXIOMS, REPRESENTATIONS, DECOMPOSITIONS -- 0. INTRODUCTION -- 1. REPRESENTATIONS OF ITÃ? *-ALGEBRAS -- 2. TWO BASIC ITÃ? B*-ALGEBRAS -- 3. DECOMPOSITION OF ITÃ? B*-ALGEBRAS -- REFERENCES -- FREE PROBABILITY FOR PROBABILISTS | |
| 505 | 8 | |a 0. INTRODUCTION1. LARGE MATRICES -- 2. FREE RANDOM VARIABLES -- 3. FREE CONVOLUTION -- 4. THEORY OF ADDITION OF FREE RANDOM VARIABLES -- 5. SPEICHER'S COMBINATORIAL APPROACH TO FREENESS -- 6. SOME FURTHER TOPICS -- ACKNOWLEDGMENT -- REFERENCES -- CONDITIONAL EXPECTATIONS ON VON NEUMANN ALGEBRAS -- 0. INTRODUCTION -- 1. THE NONCOMMUTATIVE CONDITIONAL EXPECTATION -- 2. GENERALISED CONDITIONAL EXPECTATIONS -- 3. CANONICAL STATE EXTENSIONS -- 4. STOCHASTIC TRANSITIONS FOR VON NEUMANN ALGEBRAS | |
| 505 | 8 | |a 5. AN APPLICATION: MARKOVIANITY FOR STATES ON MUTUALLY COMMUTING VON NEUMANN ALGEBRASREFERENCES -- CLASSICAL PROBABILITY THEORY AN OUTLINE OF STOCHASTIC INTEGRALS AND DIFFUSIONS -- First Lecture (One hour) -- BROWNIAN MOTIONS -- FURTHER READING -- Second Lecture (One hour) -- MARTINGALES -- FURTHER READING -- Third Lecture (One and a half hour) -- SEMIMARTINGALES AND STOCHASTIC INTEGRATION -- FURTHER READING -- Fourth Lecture (One and a half hour) -- THE CHANGE OF VARIABLE FORMULA; STOCHASTIC DIFFERENTIAL EQUATIONS -- FURTHER READING | |
| 505 | 8 | |a Fifth Lecture (One and a half hour)MARKOV PROCESSES, DIFFUSIONS AND FLOWS -- FURTHER READING -- Sixth Lecture (One and a half hour) -- ITERATED STOCHASTIC INTEGRALS, STRUCTURE EQUATIONS -- FURTHER READING -- ACKNOWLEDGEMENTS -- QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS -- 0. INTRODUCTION -- 1. QUANTUM STOCHASTIC CALCULUS -- 2. TIME REVERSAL AND DUAL COCYCLES -- 3. QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS -- 4. MINIMAL QUANTUM DYNAMICAL SEMIGROUP -- 5. THE RESOLVENT OF THE MINIMAL SEMIGROUP -- 6. CONSERVATIVITY -- 7. UNITARY SOLUTIONS | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Quantum theory. | |
| 650 | 6 | |a Probabilités. | |
| 650 | 6 | |a Théorie quantique. | |
| 650 | 7 | |a probability. |2 aat | |
| 650 | 7 | |a Probabilities |2 fast | |
| 650 | 7 | |a Quantum theory |2 fast | |
| 700 | 1 | |a Lindsay, J. M. | |
| 776 | 0 | 8 | |i Print version: |z 9789812389763 |
| 830 | 0 | |a Qp-Pq: Quantum Probability & White Noise Analysis S. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1679415 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1679415 | ||
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