The eigenvalue sum for a one-dimensional potential
type: Item
instance of: scholarly article
title: The eigenvalue sum for a one-dimensional potential
zbMATH Open document ID: 0826.34070
author: Charles Fefferman
author: L. Seco
published in: Advances in Mathematics
publication date: 1994-11-23T00:00:00Z
review text: This paper is part of a series proving the asymptotic formula announced in [Bull. Am. Math. Soc., New Ser. 23, No. 2, 525-530 (1990; Zbl 0722.35072)] for the ground-state energy of an atom. Our goal here is to give precise estimates for the sum of the negative eigenvalues of an ordinary differential operator \(H= -d^2/dx^2+ V(x)\) on an interval \(I_{\text{BVP}}\).
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81V45
zbMATH DE Number: 694954
zbMATH Keywords: asymptotic formula
zbMATH Keywords: ground-state energy of an atom
zbMATH Keywords: estimates for the sum of the negative eigenvalues
zbMATH Keywords: ordinary differential operator
MaRDI profile type: Publication
full work available at URL: aima.1994.1072
OpenAlex ID: W2052671898
DOI: 10.1006/AIMA.1994.1072
description: scientific article; zbMATH DE number 694954