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 |
|---|---|
| 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 |
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