Spectral sum rule for time delay in R2

Osborn, T. A. ; Sinha, K. B. ; Bollé, D. ; Danneels, C. (1985) Spectral sum rule for time delay in R2 Journal of Mathematical Physics, 26 (11). 2796_1-2796_7. ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v26/i11/p2796...

Related URL: http://dx.doi.org/10.1063/1.526704


A local spectral sum rule for nonrelativistic scattering in two dimensions is derived for the potential class √ ∓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.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Sum Rules; Euclidean Space; Potential Scattering; Quantum Mechanics; Hilbert Space;Factorization; Hamiltonians; Time Dependence; Two-dimensional Calculations; Singularity; Particle Interactions
ID Code:61304
Deposited On:14 Sep 2011 08:52
Last Modified:14 Sep 2011 08:52

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