Stochastic integration in Fock space
نویسندگان
چکیده
منابع مشابه
Stochastic integral representations of quantum martingales on multiple Fock space
In this paper a quantum stochastic integral representation theorem is obtained for unbounded regular martingales with respect to multidimensional quantum noise. This simultaneously extends results of Parthasarathy and Sinha to unbounded martingales and those of the author to multidimensions.
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We present several examples where moments of creators and annihilators on an interacting Fock space may be realized as moments of creators and annihilators on a full Fock module. Motivated by this experience we answer the question, whether such a possibility exists for arbitrary interacting Fock spaces, in the affirmative sense. We treat the problem in full algebraic generality. As a by-product...
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Certain non-linear relations between the generators of the (qdeformed) Heisenberg algebra are found. Some of these relations are invariant under quantization and q-deformation. ⋆ Invited talk at International Conference on Complex and Hypercomplex Analysis, Mexico-city, Mexico (1994); to be published in Proceedings † On leave of absence from the Institute for Theoretical and Experimental Physic...
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متن کاملNotes on Fock Space
These notes are intended as a fairly self contained explanation of Fock space and various algebras that act on it, including a Clifford algebras, a Weyl algebra, and an affine Kac-Moody algebra. We also discuss how the various algebras are related, and in particular describe the celebrated boson-fermion correspondence. We finish by briefly discussing a deformation of Fock space, which is a repr...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1986
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1986.122.481