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  • 2000-2004  (1)
  • 1995-1999  (1)
  • 1990-1994  (1)
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  • 1
    Digitale Medien
    Digitale Medien
    Hyperfunction quantum field theory: Analytic structure, modular aspects, and local observable algebras (2001)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 42 (2001), S. 99-129 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: This paper addresses the following problem of relativistic quantum field theory: Given a relativistic quantum field, construct a net of local observable algebras over space–time with "natural" properties. A few years ago we started a project which suggests to look at this problem in the framework of relativistic quantum field theory in terms of Fourier hyperfunctions. Accordingly we present the relevant analyticity results, some modular aspects of our theory for the Bisognano–Wichman argument, and a concrete suggestion for the definition of the local observable algebras. Finally, we construct a class of models of hyperfunction quantum fields for which the algebras of bounded operators assigned to nonempty regions in space–time are not trivial. It is remarkable that our models are not tempered quantum fields and do not admit "test functions" of compact support. © 2001 American Institute of Physics.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.1326460
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  • 2
    Digitale Medien
    Digitale Medien
    Linear canonical supertransformation (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 1757-1772 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: On a Fock superspace, a linear canonical supertransformation is implemented by an inner-product-preserving operator which is necessarily not continuous.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.530186
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  • 3
    Digitale Medien
    Digitale Medien
    A Note on the Time Development of Quantum Lattice Systems (1997)
    Springer
    Letters in mathematical physics 39 (1997), S. 163-178 
    Details
    ISSN: 1573-0530
    Schlagwort(e): quantum lattice system ; Green's function.
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract The time development of quantum lattice systems is studied without any restrictions on the growth condition of the potential Φ. A thermodynamic limit ω of quantum Gibbs state, a *-algebra $$\mathcal{W} $$ and an automorphism group αt for which ω is a KMS state are constructed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1007320903571
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