Functional Representations for Fock Superalgebras
نویسندگان
چکیده
منابع مشابه
Functional Representations for Fock Superalgebras
The Fock space of bosons and fermions and its underlying superalgebra are represented by algebras of functions on a superspace. We define Gaussian integration on infinite dimensional superspaces, and construct superanalogs of the classical function spaces with a reproducing kernel – including the Bargmann-Fock representation – and of the Wiener-Segal representation. The latter representation re...
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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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The requirement of Hermiticity of a Quantum Mechanical Hamiltonian, for the description of physical processes with real eigenvalues which has been challenged notably by Carl Bender, is examined for the case of a Fock space Hamilitonian which is bilinear in two creation and destruction operators. An interpretation of this model as a Schrödinger operator leads to an identification of the Hermitia...
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ژورنال
عنوان ژورنال: Infinite Dimensional Analysis, Quantum Probability and Related Topics
سال: 1998
ISSN: 0219-0257,1793-6306
DOI: 10.1142/s0219025798000168