Moment problem formulation of the Schrödinger equation
type: Item
instance of: scholarly article
title: Moment problem formulation of the Schrödinger equation
zbMATH Open document ID: 0786.65098
DOI: 10.1007/BF02141911
author: D. Bessis
author: Carlos R. Handy
published in: Numerical Algorithms
publication date: 1994-05-03T00:00:00Z
review text: The authors show that it is possible to single out the lowest eigenvalue of an Schrödinger-equation: among all possible solutions, it is the only one for which a proper moment problem can be formulated. An infinite set of positive inequalities can be used to get the sets of lower and upper bounds to the unknown eigenvalue and eigenfunction. The effective computation is based on deep convexity properties. The convexity allows to get the bounds via linear programming.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 440267
zbMATH Keywords: lowest eigenvalue
zbMATH Keywords: Schrödinger-equation
zbMATH Keywords: moment problem
zbMATH Keywords: convexity
zbMATH Keywords: linear programming
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
cites work: Q3727040
cites work: Q4185363
cites work: Q3849152
full work available at URL: https://doi.org/10.1007/bf02141911
OpenAlex ID: W2066208028
description: scientific article; zbMATH DE number 440267