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The stability of the density of states of Schrödinger operator under very small perturbations

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Publication:1826038
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DOI10.1007/BF01235738zbMath0685.35081MaRDI QIDQ1826038

Werner Kirsch

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

number of eigenvalues


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)


Related Items (3)

Bounds on the spectral shift function and the density of states ⋮ A lower bound for the density of states of the lattice Anderson model ⋮ The spectral shift function for compactly supported perturbations of Schrödinger operators on large bounded domains



Cites Work

  • Unnamed Item
  • Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
  • Schrödinger semigroups
  • Small Perturbations and the Eigenvalues of the Laplacian on Large Bounded Domains
  • On the density of states of Schrodinger operators with a random potential


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