The ionization problem
type: Item
instance of: scholarly article
title: The ionization problem
zbMATH Open document ID: 1458.81046
DOI: 10.4171/NEWS/118/6
author: P. T. Nam
published in: European Mathematical Society Newsletter
publication date: 2021-02-23T00:00:00Z
review text: Summary: ``How many electrons can a nucleus bind?'' is as old as quantum mechanics, but its rigorous answer based on the many-body Schrödinger equation remains a difficult challenge to mathematicians. Nevertheless, there has been remarkable progress in this problem in the past four decades. We will review the current understanding of the Schrödinger equation and then turn to simplified models where the problem has been solved satisfactorily. We will also discuss the connection to the liquid drop model, which is somewhat more classical, but no less interesting
Mathematics Subject Classification ID: 81V45
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81V74
Mathematics Subject Classification ID: 81V35
zbMATH DE Number: 7314411
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7314411