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Spectral sum rule for time delay in R2 (1985)

Osborn, T. A. ; Sinha, K. B. ; Bollé, D. ; [et al.]

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 26 (1985), S. 2796-2802

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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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