Chaotic Expansions of Elements of the Universal Enveloping Superalgebra Associated with a Z2-graded Quantum Stochastic Calculus |
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| Authors: | T. M. W. Eyre |
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| Affiliation: | (1) Department of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom. E-mail: tmwe@maths.nott.ac.uk}, UK |
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| Abstract: | Given a polynomial function f of classical stochastic integrator processes whose differentials satisfy a closed Ito multiplication table, we can express the stochastic derivative of f as We establish an analogue of this formula in the form of a chaotic decomposition for Z 2-graded theories of quantum stochastic calculus based on the natural coalgebra structure of the universal enveloping superalgebra. Received: 28 January 1997 / Accepted: 10 June 1997 |
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