{"title":"薛定谔-伯恩-因费尔德系统:有吸引力的案例","authors":"","doi":"10.1016/j.aml.2024.109259","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we consider a system describing a quantum particle self interacting with the Born Infeld electromagnetic field. The existence of a radial ground state solution is proved in the attractive case.</p></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Schrödinger–Born–Infeld system: Attractive case\",\"authors\":\"\",\"doi\":\"10.1016/j.aml.2024.109259\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we consider a system describing a quantum particle self interacting with the Born Infeld electromagnetic field. The existence of a radial ground state solution is proved in the attractive case.</p></div>\",\"PeriodicalId\":55497,\"journal\":{\"name\":\"Applied Mathematics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-08-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0893965924002799\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965924002799","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们考虑了一个描述量子粒子与 Born Infeld 电磁场自相互作用的系统。在有吸引力的情况下,证明了径向基态解的存在。
The Schrödinger–Born–Infeld system: Attractive case
In this paper we consider a system describing a quantum particle self interacting with the Born Infeld electromagnetic field. The existence of a radial ground state solution is proved in the attractive case.
期刊介绍:
The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.