Abstract
We construct a transformation between Bose Fock space and Fermi Fock space that is super-symmetric in the sense that it converts Boson fields into Fermi fields over a fixed one-particle space h. The transformation the spectral splitting of h into a continuous direct integral of internal spaces. We present a theory of integration on the
Fock spaces that is a natural generalization of the theory of quantum stochastic calculus and which we refer to as a Wick calculus.
Original language | English |
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Pages (from-to) | 141-150 |
Number of pages | 10 |
Journal | Advanced Studies in Contemporary Mathematics (Kyungshang) |
Volume | 11 |
Issue number | 2 |
Publication status | Published - 2005 |