Unitary evolutions and horizontal lifts in quantum stochastic calculus |
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Authors: | David Applebaum |
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Affiliation: | (1) Department of Mathematics, Statistics and Operations Research, Nottingham Polytechnic, Burton Street, NG1 4BU Nottingham, England |
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Abstract: | Unitarity is proved for a class of solutions of quantum stochastic differential equations with unbounded coefficients. The resulting processes are then used to construct algebraic quantum diffusions. Applications include an existence proof for a class of diffusions on the non-commutative two-torus and a geometric interpretation for diffusions driven by the classical Poisson process. |
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