FOCK REPRESENTATIONS AND QUANTUM MATRICES
نویسندگان
چکیده
منابع مشابه
Fock Representations
In this note we use Clifford algebras and their Fock representations to build representations of LU(N) and LSU(N). Let H be the Hilbert space of square-integrable sections of the trivial rank N complex vector bundle over S and P : H → H the projection onto the space spanned by non-negative Fourier modes. To this data we can associate the Fermionic Fock space FP . FP is a representation of level...
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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 develop a rigorous framework for constructing Fock representations of quantum fields obeying generalized statistics associated with certain solutions of the spectral quantum Yang-Baxter equation. The main features of these representations are investigated. Various aspects of the underlying mathematical structure are illustrated by means of explicit examples.
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We show that every biorthogonal wavelet determines a representation by operators on Hilbert space satisfying simple identities, which captures the established relationship between orthogonal wavelets and Cuntz-algebra representations in that special case. Each of these representations is shown to have tractable finite-dimensional co-invariant doubly-cyclic subspaces. Further, motivated by these...
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2004
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x04002600