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Multiplicities of the eigenvalues of the Schrödinger equation in any dimension

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Publication:1104477
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DOI10.1016/0022-1236(88)90091-2zbMath0647.35017OpenAlexW2067450273MaRDI QIDQ1104477

Thomas Kappeler

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90091-2


zbMATH Keywords

Dirichlet boundary conditionsSchrödinger equationfirst categorymultiple eigenvalue


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)


Related Items (2)

Strong nonresonance of Schrödinger operators and an averaging theorem ⋮ Measures on double or resonant eigenvalues for linear Schrödinger operator



Cites Work

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  • Eigenfunctions and nodal sets
  • Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo
  • Modes and quasimodes
  • Unique continuation in geometry
  • Multiplicities of the Eigenvalues of the Discrete Schrodinger Equation in any Dimension
  • Genericity of Simple Eigenvalues for Elliptic PDE's
  • Generic Properties of Eigenfunctions


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