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  • 1
    Electronic Resource
    Electronic Resource
    Local and global spectral shift functions in R2 (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 420-432 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The energy-dependent trace-class time-delay operator associated with the transit time of a scattering system through a finite space region Σ⊆R2 is used to define a local (Σ-dependent) version of the Krein spectral shift function. If the region Σ is a disk of radius r, it is proved that as r→∞ the local spectral shift function converges, for almost all energies, to the original spectral shift function of Krein. This result continues to be valid for systems exhibiting zero-energy resonance behavior.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528461
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Spectral sum rule for time delay in R2 (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2796-2802 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A local spectral sum rule for nonrelativistic scattering in two dimensions is derived for the potential class v∈L4/3 (R2). The sum rule relates the integral over all scattering energies of the trace of the time-delay operator for a finite region Σ⊆R2 to the contributions in Σ of the pure point and singularly continuous spectra.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526704
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    Paper (German National Licenses)
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