{"title":"氦原子的非相对论能级","authors":"D. T. Aznabayev, A. K. Bekbaev, V. Korobov","doi":"10.22323/1.353.0060","DOIUrl":null,"url":null,"abstract":"The nonrelativistic energy levels of a helium atom are calculated for S , P , D and F states. The calculations are based on the variational method of \"exponential\" expansion. The convergence of the calculated energy levels is studied as a function of the number of basis functions N . This allows us to claim that the obtained energy values (including the values for the states with a nonzero angular momentum) are accurate up to 28-35 significant digits.","PeriodicalId":416768,"journal":{"name":"Proceedings of International Conference on Precision Physics and Fundamental Physical Constants — PoS(FFK2019)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonrelativistic energy levels of the helium atom\",\"authors\":\"D. T. Aznabayev, A. K. Bekbaev, V. Korobov\",\"doi\":\"10.22323/1.353.0060\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The nonrelativistic energy levels of a helium atom are calculated for S , P , D and F states. The calculations are based on the variational method of \\\"exponential\\\" expansion. The convergence of the calculated energy levels is studied as a function of the number of basis functions N . This allows us to claim that the obtained energy values (including the values for the states with a nonzero angular momentum) are accurate up to 28-35 significant digits.\",\"PeriodicalId\":416768,\"journal\":{\"name\":\"Proceedings of International Conference on Precision Physics and Fundamental Physical Constants — PoS(FFK2019)\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of International Conference on Precision Physics and Fundamental Physical Constants — PoS(FFK2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22323/1.353.0060\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of International Conference on Precision Physics and Fundamental Physical Constants — PoS(FFK2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22323/1.353.0060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The nonrelativistic energy levels of a helium atom are calculated for S , P , D and F states. The calculations are based on the variational method of "exponential" expansion. The convergence of the calculated energy levels is studied as a function of the number of basis functions N . This allows us to claim that the obtained energy values (including the values for the states with a nonzero angular momentum) are accurate up to 28-35 significant digits.