Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials
DOI10.1063/5.0015671zbMath1454.81078arXiv2006.00308OpenAlexW3087303858MaRDI QIDQ5141033
Derek Kielty, Mark S. Ashbaugh
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00308
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The dual eigenvalue problems for the Sturm-Liouville system
- An optimal Poincaré inequality for convex domains
- On the ``hot spots conjecture of J. Rauch
- Spectral gaps and rates to equilibrium for diffusions in convex domains
- Non-concavity of the Robin ground state
- Shape optimization and spectral theory
- Proof of the fundamental gap conjecture
- 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
- On the first two eigenvalues of Sturm-Liouville operators
- Optimal bounds on the fundamental spectral gap with single-well potentials
- The Robin Laplacian—Spectral conjectures, rectangular theorems
- 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
This page was built for publication: Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials