Unification of fermion and Boson stochastic calculus

Hudson, R. L. ; Parthasarathy, K. R. (1986) Unification of fermion and Boson stochastic calculus Communications in Mathematical Physics, 104 (3). pp. 457-470. ISSN 0010-3616

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Official URL: http://www.springerlink.com/content/n11wj626717618...

Related URL: http://dx.doi.org/10.1007/BF01210951


Fermion annihilation and creation processes are explicitly realised in Boson Fock space as functions of the corresponding Boson processes and second quantization 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.

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