{"title":"Gross-Pitaevskii方程的辛格式","authors":"YiMin Tian","doi":"10.1109/IUCE.2009.124","DOIUrl":null,"url":null,"abstract":"For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a kind of symplectic difference schemes was constructed, which is second order in time and arbitrary order in space to investigate the evolution of vortices of BEC in this paper. First, we look for a steady state solution of the imaginary time G-P equation. Then, we numerically study the vortices's development in real time, starting with the solution in imaginary time as initial value.","PeriodicalId":153560,"journal":{"name":"2009 International Symposium on Intelligent Ubiquitous Computing and Education","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Symplectic Scheme of Gross-Pitaevskii Equation\",\"authors\":\"YiMin Tian\",\"doi\":\"10.1109/IUCE.2009.124\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a kind of symplectic difference schemes was constructed, which is second order in time and arbitrary order in space to investigate the evolution of vortices of BEC in this paper. First, we look for a steady state solution of the imaginary time G-P equation. Then, we numerically study the vortices's development in real time, starting with the solution in imaginary time as initial value.\",\"PeriodicalId\":153560,\"journal\":{\"name\":\"2009 International Symposium on Intelligent Ubiquitous Computing and Education\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Symposium on Intelligent Ubiquitous Computing and Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IUCE.2009.124\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Symposium on Intelligent Ubiquitous Computing and Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IUCE.2009.124","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a kind of symplectic difference schemes was constructed, which is second order in time and arbitrary order in space to investigate the evolution of vortices of BEC in this paper. First, we look for a steady state solution of the imaginary time G-P equation. Then, we numerically study the vortices's development in real time, starting with the solution in imaginary time as initial value.
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