On the fundamental spectral gap of weighted Schrodinger operators

Fuente: arXiv
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Auteur principal: Ahrami, Mohammed
Format: Preprint
Publié: 2026
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author Ahrami, Mohammed
author_facet Ahrami, Mohammed
contents 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, under the constraint that the potential V (x) is convex and that the weight function w(x) is concave.
format Preprint
id arxiv_https___arxiv_org_abs_2605_24560
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the fundamental spectral gap of weighted Schrodinger operators
Ahrami, Mohammed
Spectral Theory
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, under the constraint that the potential V (x) is convex and that the weight function w(x) is concave.
title On the fundamental spectral gap of weighted Schrodinger operators
topic Spectral Theory
url https://arxiv.org/abs/2605.24560