{"title":"Gross-Pitaevskii方程的多辛格式","authors":"YiMin Tian","doi":"10.1109/IUCE.2009.123","DOIUrl":null,"url":null,"abstract":"For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a multisymplectic difference scheme was constructed to investigate the evolution of vortices 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":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Multisymplectic Scheme for Gross-Pitaevskii Equation\",\"authors\":\"YiMin Tian\",\"doi\":\"10.1109/IUCE.2009.123\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a multisymplectic difference scheme was constructed to investigate the evolution of vortices 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\":\"35 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.2009.123\",\"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.2009.123","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Multisymplectic Scheme for Gross-Pitaevskii Equation
For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a multisymplectic difference scheme was constructed to investigate the evolution of vortices 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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