{"title":"相互作用费米子算子的相对界","authors":"Volker Bach, Robert Rauch","doi":"10.4171/dm/919","DOIUrl":null,"url":null,"abstract":"We consider a Hubbard model with nearest neighbor interaction on a discrete $d$-dimensional torus of length $L$ around its Hartree-Fock ground state and derive relative bounds of the effective interaction with respect to the effective kinetic energy. It is shown that there are no relative bounds uniform in $L$.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":"54 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On relative bounds for interacting Fermion operators\",\"authors\":\"Volker Bach, Robert Rauch\",\"doi\":\"10.4171/dm/919\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a Hubbard model with nearest neighbor interaction on a discrete $d$-dimensional torus of length $L$ around its Hartree-Fock ground state and derive relative bounds of the effective interaction with respect to the effective kinetic energy. It is shown that there are no relative bounds uniform in $L$.\",\"PeriodicalId\":50567,\"journal\":{\"name\":\"Documenta Mathematica\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-09-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Documenta Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4171/dm/919\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Documenta Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4171/dm/919","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On relative bounds for interacting Fermion operators
We consider a Hubbard model with nearest neighbor interaction on a discrete $d$-dimensional torus of length $L$ around its Hartree-Fock ground state and derive relative bounds of the effective interaction with respect to the effective kinetic energy. It is shown that there are no relative bounds uniform in $L$.
期刊介绍:
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