{"title":"Fisher Information Density Functional Theory","authors":"Á. Nagy","doi":"10.1002/jcc.70215","DOIUrl":null,"url":null,"abstract":"<p>According to the density functional theory, the density contains sufficient information to compute the value of any observable. It is shown that the Fisher information density also includes this knowledge. The Fisher information density functional theory is constructed. The variational principle is extended to the energy as a functional of the Fisher information density. Hohenberg-Kohn-like theorems are shown to be valid.</p>","PeriodicalId":188,"journal":{"name":"Journal of Computational Chemistry","volume":"46 23","pages":""},"PeriodicalIF":4.8000,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/jcc.70215","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Chemistry","FirstCategoryId":"92","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/jcc.70215","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
According to the density functional theory, the density contains sufficient information to compute the value of any observable. It is shown that the Fisher information density also includes this knowledge. The Fisher information density functional theory is constructed. The variational principle is extended to the energy as a functional of the Fisher information density. Hohenberg-Kohn-like theorems are shown to be valid.
期刊介绍:
This distinguished journal publishes articles concerned with all aspects of computational chemistry: analytical, biological, inorganic, organic, physical, and materials. The Journal of Computational Chemistry presents original research, contemporary developments in theory and methodology, and state-of-the-art applications. Computational areas that are featured in the journal include ab initio and semiempirical quantum mechanics, density functional theory, molecular mechanics, molecular dynamics, statistical mechanics, cheminformatics, biomolecular structure prediction, molecular design, and bioinformatics.