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On the Weak and Ergodic Limit of the Spectral Shift Function

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Abstract

We investigate convergence properties of the spectral shift functions associated with a pair of Schrödinger operators with Dirichlet boundary conditions at the end points of a finite interval as the length of interval approaches infinity.

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Authors and Affiliations

  1. Department of Mathematics, University of Cincinnati, Cincinnati, OH, 45221, USA

    Vita Borovyk

  2. Department of Mathematics, University of Missouri, Columbia, MO, 63211, USA

    Konstantin A. Makarov

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  1. Vita Borovyk
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  2. Konstantin A. Makarov
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Correspondence to Konstantin A. Makarov.

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Borovyk, V., Makarov, K.A. On the Weak and Ergodic Limit of the Spectral Shift Function. Lett Math Phys 100, 1–15 (2012). https://doi.org/10.1007/s11005-011-0524-7

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  • DOI: https://doi.org/10.1007/s11005-011-0524-7

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