The effective potential of an M-matrix
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Publication:4987871
DOI10.1063/5.0042629zbMath1462.81088arXiv2101.01672OpenAlexW3118451326WikidataQ112628819 ScholiaQ112628819MaRDI QIDQ4987871
Svitlana Mayboroda, Marcel Filoche, Terence C. Tao
Publication date: 4 May 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.01672
Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random matrices (algebraic aspects) (15B52)
Related Items (6)
Introduction to the Special Issue: In memory of Jean Bourgain ⋮ Landscape approximation of the ground state eigenvalue for graphs and random hopping models ⋮ Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs ⋮ An Agmon estimate for Schrödinger operators on graphs ⋮ Counting eigenvalues of Schrödinger operators using the landscape function ⋮ On torsional rigidity and ground-state energy of compact quantum graphs
Cites Work
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- Semiclassical analysis of low lying eigenvalues. II: Tunneling
- The spectral edge of some random band matrices
- Eigenvector localization for random band matrices with power law band width
- Semi-classical analysis for the Schrödinger operator and applications
- M-matrix characterizations. I: nonsingular M-matrices
- The exponential decay of eigenfunctions for tight-binding Hamiltonians via landscape and dual landscape functions
- Detecting localized eigenstates of linear operators
- Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
- Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
- Multiple wells in the semi-classical limit I
- Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
- Scaling properties of localization in random band matrices: A σ-model approach
- Computing Spectra without Solving Eigenvalue Problems
- RANDOM BAND MATRICES
- Localization and landscape functions on quantum graphs
- Localization of eigenfunctions via an effective potential
- On the Wegner Orbital Model
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