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Physical Sciences → Mathematics → Mathematical Physics

Spectral Theory in Mathematical Physics

This cluster of papers focuses on the spectral theory and properties of differential operators, particularly Schrödinger operators, on various structures such as quantum graphs and thin manifolds. It explores topics such as localization, inverse spectral problems, Anderson localization, scattering theory, and Weyl–Titchmarsh theory. The papers also delve into eigenvalue estimates and applications to quantum chaos and universal spectral statistics.

68.5K works worldwide551.9K citations
Spectral TheoryDifferential OperatorsQuantum GraphsLocalizationSchrödinger OperatorsInverse Spectral ProblemsAnderson LocalizationScattering TheoryWeyl–Titchmarsh TheoryEigenvalue Estimates

Journals publishing in this area

Articles on Scinovex in this research area

13 articles, most cited first

  1. Properties of quasi-similarity on θ-operators
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  2. The role of symmetry in solving large-scale eigenvalue problems: Applications to quantum mechanics and vibrational analysis
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  3. On numerical range distortion under metric similarity in Hilbert space operators
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  4. Approximating Poincare inequalities on stratified groups with applications to Eastern Ghats forest fragmentation
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  5. Constructing green function estimates for Schrodinger operators with applications to atlas mountain erosion models
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  6. Classifying Dirac operator spectra on spin-c Riemannian manifolds with applications to New Zealand geothermal energy output
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  7. Decomposing selberg trace formula applications to spectral counting with applications to gobi oasis water table data
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  8. Studying spectral properties of graph Laplacians with applications to Kilimanjaro glacier retreat data
    International Journal of Statistics and Applied Mathematics · 2024 · 0 citations
  9. Invariant subspaces of bilateral shift on L2(S1)
    International Journal of Statistics and Applied Mathematics · 2020 · 0 citations · AI summary
  10. Weyl and Browder theorems for operators with or without SVEP at zero
    International Journal of Statistics and Applied Mathematics · 2020 · 0 citations · AI summary
  11. New approach to almost periodicity in to pological dynamics
    International Journal of Statistics and Applied Mathematics · 2018 · 0 citations · AI summary
  12. The general Liapounov theorem for some degenerate differential systems
    International Journal of Statistics and Applied Mathematics · 2017 · 0 citations
  13. Multiple solutions for asymptotically linear Schro¨dinger equation with sign-changing potentials
    International Journal of Statistics and Applied Mathematics · 2016 · 0 citations · AI summary