On the Hellmann-Feynman theorem and the variation of zeros of certain special functions
type: Item
instance of: scholarly article
title: On the Hellmann-Feynman theorem and the variation of zeros of certain special functions
zbMATH Open document ID: 0684.33004
DOI: 10.1016/0196-8858(88)90022-X
author: Mourad E. H. Ismail
author: Ruiming Zhang
published in: Advances in Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: The authors give a precise formulation and a rigorous proof of the Hellmann-Feynman theorem of quantum chemistry. As a consequence of this theorem they discover again known monotonicity properties of the zeros of Bessel functions. It would be interesting to discover new results using Hellmann-Feynman theorem. The applications in the present paper are well known.
reviewed by: A. Laforgia
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 4120534
zbMATH Keywords: eigenvalues of selfadjoint operator
zbMATH Keywords: zeros of Bessel functions
zbMATH Keywords: Hellmann- Feynman theorem
MaRDI profile type: Publication
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full work available at URL: 0196-8858(88)90022-x
OpenAlex ID: W2081685355
description: scientific article; zbMATH DE number 4120534