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Bosonic and fermionic white noises and the reflection process

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Abstract

The reflection process is used to unify the bosonic and fermionic quantum stochastic calculi. But the reflection process cannot be converted to the standard Stratonovich form. It is shown that an analytically extended version of the Stratonovich calculus allows describing the reflection process at the bosonic white-noise level as well as constructing the fermionic white-noise variables.

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Authors and Affiliations

  1. Department of Mathematical Physics, National University of Ireland, Maynooth, Ireland

    J. Gough

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  1. J. Gough
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 1, pp. 36–47, July, 2000.

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Gough, J. Bosonic and fermionic white noises and the reflection process. Theor Math Phys 124, 887–896 (2000). https://doi.org/10.1007/BF02551065

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  • DOI: https://doi.org/10.1007/BF02551065

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