Work

A Schrödinger operator with confining potential having quadratic growth

Year: 2025

Type: article

Abstract: We study the spectral properties of a Schrödinger operator, in presence of a confining potential given by the distance squared from a fixed compact potential well. We prove continuity estimates on both the eigenvalues and the eigenstates, lower bounds on the ground state energy, regularity and integrability properties of eigenstates. We also get explicit decay estimates at infinity, by means of elementary nonlinear methods.

Source: Analysis and Mathematical Physics

DOI: 10.1007/s13324-025-01063-9

Authors: Chiara Alessi, Lorenzo Brasco, Michele Miranda

Institution: University of Ferrara

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Università degli Studi di Ferrara