1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.SP2026
On the fundamental spectral gap of weighted Schrodinger operators
Mohammed Ahrami
We characterize the potential V (x) that minimizes the fundamental spectral gap of weighted Schrödinger operators on the interval [0,π] subject to Dirichlet boundary conditions, un…
math.SP2024★ 1 cited
On the Fundamental Eigenvalues gap of Sturm-Liouville Operators
Mohammed Ahrami, Zakaria El Allali, Evans M. Harrell
We use methods of direct optimization as in [9] to find the minimizers of the fundamental gap of Sturm-Liouville operators on an interval, under the constraint that the potential i…
math.SP2024★ 1 cited
Optimizing the Fundamental Eigenvalue Gap of Quantum Graphs
Mohammed Ahrami, Zakaria El Allali, Evans M Harrell +1
We study the problem of minimizing or maximizing the fundamental spectral gap of Schrödinger operators on metric graphs with either a convex potential or a ``single-well'' potentia…