On the spectral gap of one-dimensional Schrödinger operators on large intervals

DOI10.1007/S00013-024-02060-3MaRDI QIDQ6641673

J. Kerner, Matthias Täufer

Publication date: 21 November 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorsspectral gapfundamental gap

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Lifshitz tails for periodic plus random potentials
• Comparison theorems for the gap of Schrödinger operators
• Lower bounds on the spectral gap of one-dimensional Schrödinger operators
• On a condition for type-I Bose-Einstein condensation in random potentials in \(d\) dimensions
• Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials
• The Eigenvalue Gap for One-Dimensional Convex Potentials
• The Gap between the First Two Eigenvalues of a One-Dimensional Schrodinger Operator with Symmetric Potential
• The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions
• On the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation
• On the spectral gap of higher-dimensional Schrödinger operators on large domains

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