{"title":"BPS Berry连接的型号","authors":"S. Ohya","doi":"10.1142/s0217732321500073","DOIUrl":null,"url":null,"abstract":"Motivated by the Nahm's construction, in this paper we present a systematic construction of Schrodinger Hamiltonians for a spin-1/2 particle in which the Berry connection in the ground-state sector becomes the BPS monopole of $SU(2)$ Yang-Mills-Higgs theory. Our construction enjoys a single arbitrary monotonic function, thereby creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.","PeriodicalId":8443,"journal":{"name":"arXiv: High Energy Physics - Theory","volume":"33 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Models for the BPS Berry connection\",\"authors\":\"S. Ohya\",\"doi\":\"10.1142/s0217732321500073\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motivated by the Nahm's construction, in this paper we present a systematic construction of Schrodinger Hamiltonians for a spin-1/2 particle in which the Berry connection in the ground-state sector becomes the BPS monopole of $SU(2)$ Yang-Mills-Higgs theory. Our construction enjoys a single arbitrary monotonic function, thereby creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.\",\"PeriodicalId\":8443,\"journal\":{\"name\":\"arXiv: High Energy Physics - Theory\",\"volume\":\"33 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: High Energy Physics - Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217732321500073\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: High Energy Physics - Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0217732321500073","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Motivated by the Nahm's construction, in this paper we present a systematic construction of Schrodinger Hamiltonians for a spin-1/2 particle in which the Berry connection in the ground-state sector becomes the BPS monopole of $SU(2)$ Yang-Mills-Higgs theory. Our construction enjoys a single arbitrary monotonic function, thereby creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.