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Higher order Ito product formula and generators of evolutions and flows. (English) Zbl 0850.81035

Summary: A simple combinatorial formula is found for the product of two iterated quantum stochastic integrals, and used to find conditions that such an integral represent a unitary-valued or \(*\)-algebra homomorphism-valued process.

MSC:

81S25 Quantum stochastic calculus
46L60 Applications of selfadjoint operator algebras to physics
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References:

[1] Evans, M. P. (1989). Existence of quantum diffusions,Probability Theory and Related Fields,81, 473-483. · Zbl 0667.60060
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