Abstract
The quantum stochastic differential formula dB = (−1)ΛdA, known to relateboson and fermion fields A and B, respectively, on the Fock space over L 2(R+),is shown to hold in a modified form in a Fock space associated with the nontrivialcomplex line bundle over the circle S 1.
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Hudson, R.L. Boson—Fermion Correspondence on the Circle via Quantum Stochastic Calculus. International Journal of Theoretical Physics 39, 737–744 (2000). https://doi.org/10.1023/A:1003658309175
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DOI: https://doi.org/10.1023/A:1003658309175