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Feynman–Kac perturbation of C* quantum stochastic flows
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Date
2024-07-06
Authors
Belton, Alexander C. R.
Wills, Stephen J.
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Springer Nature
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Abstract
The method of Feynman–Kac perturbation of quantum stochastic processes has a long pedigree, with the theory usually developed within the framework of processes on von Neumann algebras. In this work, the theory of operator spaces is exploited to enable a broadening of the scope to flows on C* algebras. Although the hypotheses that need to be verified in this general setting may seem numerous, we provide auxiliary results that enable this to be simplified in many of the cases which arise in practice. A wide variety of examples is provided by way of illustration.
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Keywords
Markovian cocycle , Quantum stochastic differential equation , Multiplier equation , Quantum exclusion process , Flows on universal C* algebras
Citation
Belton, A.C.R., Wills, S.J. (2024) 'Feynman–Kac perturbation of C* quantum stochastic flows', Indian Journal of Pure and Applied Mathematics (2024). https://doi.org/10.1007/s13226-024-00648-7
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© 2024, The Indian National Science Academy. Published by Springer Nature Limited. This is a post-peer-review, pre-copyedit version of an article published in the Indian Journal of Pure and Applied Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s13226-024-00648-7