{"title":"二维电磁场狄拉克方程的高斯光束","authors":"V.V. Kuydin, M. Perel","doi":"10.1109/DD46733.2019.9016614","DOIUrl":null,"url":null,"abstract":"Gaussian beams for the stationary 2D Dirac equation with inhomogeneous electric and magnetic fields are constructed. Gaussian beams (GB) are such asymptotic solutions of this equation that are exponentially localized near semiclassical trajectories. To derive formulas for the GB, we found the leading term of semiclassical asymptotic solutions of this equation by elementary methods. The results are given in such a form that can be applied to another vector problems.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Gaussian beams for 2D Dirac equation with electromagnetic field\",\"authors\":\"V.V. Kuydin, M. Perel\",\"doi\":\"10.1109/DD46733.2019.9016614\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Gaussian beams for the stationary 2D Dirac equation with inhomogeneous electric and magnetic fields are constructed. Gaussian beams (GB) are such asymptotic solutions of this equation that are exponentially localized near semiclassical trajectories. To derive formulas for the GB, we found the leading term of semiclassical asymptotic solutions of this equation by elementary methods. The results are given in such a form that can be applied to another vector problems.\",\"PeriodicalId\":319575,\"journal\":{\"name\":\"2019 Days on Diffraction (DD)\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD46733.2019.9016614\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD46733.2019.9016614","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Gaussian beams for 2D Dirac equation with electromagnetic field
Gaussian beams for the stationary 2D Dirac equation with inhomogeneous electric and magnetic fields are constructed. Gaussian beams (GB) are such asymptotic solutions of this equation that are exponentially localized near semiclassical trajectories. To derive formulas for the GB, we found the leading term of semiclassical asymptotic solutions of this equation by elementary methods. The results are given in such a form that can be applied to another vector problems.