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Unification of Fermion and Boson stochastic calculus. (English) Zbl 0604.60063

Fermion annihilation and creation processes are explicitly realised in Boson Fock space as functions of the corresponding Boson processes and second quantisations of reflections. Conversely, Boson annihilation and creation processes can be constructed from the Fermion processes. The existence of unitary stochastic evolutions driven by Fermion and gauge noise is thereby reduced to an equivalent Boson problem, which is then solved.

MSC:

60H99 Stochastic analysis
81P20 Stochastic mechanics (including stochastic electrodynamics)
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