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Quantum Stochastic Calculus and Representations of Lie Superalgebras / by Timothy M. W. Eyre.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Eyre, Timothy M. W., 1971- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1692.
- Lecture Notes in Mathematics, 0075-8434 ; 1692
- Language:
- English
- Subjects (All):
- Distribution (Probability theory).
- Quantum theory.
- Topological groups.
- Probability Theory and Stochastic Processes.
- Quantum Information Technology, Spintronics.
- Quantum Physics.
- Topological Groups, Lie Groups.
- Local Subjects:
- Probability Theory and Stochastic Processes.
- Quantum Information Technology, Spintronics.
- Quantum Physics.
- Topological Groups, Lie Groups.
- Physical Description:
- 1 online resource (VIII, 148 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
- System Details:
- text file PDF
- Summary:
- This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is particularly interesting. The book aims to provide a self-contained exposition of what is known about Z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.
- Contents:
- Quantum stochastic calculus
- Z2-graded structures
- Representations of lie superalgebras in Z2-graded quantum stochastic calculus
- The ungraded higher order Ito product formula
- The Ito superalgebra
- Some results in Z2-graded quantum stochastic calculus
- Chaotic expansions
- Extensions.
- Other Format:
- Printed edition:
- ISBN:
- 9783540683858
- Access Restriction:
- Restricted for use by site license.
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