{"title":"具有固定核和N电子的分子的(\\(N-1\\))粒子电子降密度矩阵的规律性。","authors":"Thierry Jecko","doi":"10.1007/s11005-025-01975-4","DOIUrl":null,"url":null,"abstract":"<div><p>We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and <i>N</i> electrons (<span>\\(N>1\\)</span>). Near appropriate electronic collisions, we determine the regularity of the <span>\\((N-1)\\)</span>-particle electronic reduced density matrix.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"115 4","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Regularity of the (\\\\(N-1\\\\))-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons.\",\"authors\":\"Thierry Jecko\",\"doi\":\"10.1007/s11005-025-01975-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and <i>N</i> electrons (<span>\\\\(N>1\\\\)</span>). Near appropriate electronic collisions, we determine the regularity of the <span>\\\\((N-1)\\\\)</span>-particle electronic reduced density matrix.</p></div>\",\"PeriodicalId\":685,\"journal\":{\"name\":\"Letters in Mathematical Physics\",\"volume\":\"115 4\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11005-025-01975-4\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11005-025-01975-4","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Regularity of the (\(N-1\))-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons.
We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (\(N>1\)). Near appropriate electronic collisions, we determine the regularity of the \((N-1)\)-particle electronic reduced density matrix.
期刊介绍:
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.