Quantum Stochastic Calculus and Representations of Lie Superalgebras

• Κύριος συγγραφέας: Eyre, Timothy M.W (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Έκδοση: 1st ed. 1998.
• Σειρά: Lecture Notes in Mathematics, 1692
• Θέματα: Probabilities.; Quantum computers.; Spintronics.; Quantum physics.; Topological groups.; Lie groups.; Probability Theory and Stochastic Processes.; Quantum Information Technology, Spintronics.; Quantum Physics.; Topological Groups, Lie Groups.

 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. 

 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.