{"title":"非线性Schrödinger玻色子基态的极限","authors":"N. Rougerie","doi":"10.5802/cml.62","DOIUrl":null,"url":null,"abstract":"I review an information-theoretic variant of the quantum de Finetti theorem due to Brand{a}o and Harrow and discuss its applications to the topic of bosonic mean-field limits. This leads to slightly improved methods for the derivation of the local non-linear Schr{o}dinger energy functional from many-body quantum mechanics.","PeriodicalId":52130,"journal":{"name":"Confluentes Mathematici","volume":"44 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Non linear Schrödinger limit of bosonic ground states, again\",\"authors\":\"N. Rougerie\",\"doi\":\"10.5802/cml.62\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"I review an information-theoretic variant of the quantum de Finetti theorem due to Brand{a}o and Harrow and discuss its applications to the topic of bosonic mean-field limits. This leads to slightly improved methods for the derivation of the local non-linear Schr{o}dinger energy functional from many-body quantum mechanics.\",\"PeriodicalId\":52130,\"journal\":{\"name\":\"Confluentes Mathematici\",\"volume\":\"44 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-01-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Confluentes Mathematici\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5802/cml.62\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Confluentes Mathematici","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/cml.62","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Non linear Schrödinger limit of bosonic ground states, again
I review an information-theoretic variant of the quantum de Finetti theorem due to Brand{a}o and Harrow and discuss its applications to the topic of bosonic mean-field limits. This leads to slightly improved methods for the derivation of the local non-linear Schr{o}dinger energy functional from many-body quantum mechanics.
期刊介绍:
Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.