{"title":"多项式狄拉克方程解的级数表示","authors":"Doan Cong Dinh","doi":"10.1007/s00006-023-01297-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we consider the polynomial Dirac equation <span>\\( \\left( D^m+\\sum _{i=0}^{m-1}a_iD^i\\right) u=0,\\ (a_i\\in {\\mathbb {C}})\\)</span>, where <i>D</i> is the Dirac operator in <span>\\({\\mathbb {R}}^n\\)</span>. We introduce a method of using series to represent explicit solutions of the polynomial Dirac equations.</p></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Series Representation of Solutions of Polynomial Dirac Equations\",\"authors\":\"Doan Cong Dinh\",\"doi\":\"10.1007/s00006-023-01297-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we consider the polynomial Dirac equation <span>\\\\( \\\\left( D^m+\\\\sum _{i=0}^{m-1}a_iD^i\\\\right) u=0,\\\\ (a_i\\\\in {\\\\mathbb {C}})\\\\)</span>, where <i>D</i> is the Dirac operator in <span>\\\\({\\\\mathbb {R}}^n\\\\)</span>. We introduce a method of using series to represent explicit solutions of the polynomial Dirac equations.</p></div>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-09-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00006-023-01297-5\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00006-023-01297-5","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Series Representation of Solutions of Polynomial Dirac Equations
In this paper, we consider the polynomial Dirac equation \( \left( D^m+\sum _{i=0}^{m-1}a_iD^i\right) u=0,\ (a_i\in {\mathbb {C}})\), where D is the Dirac operator in \({\mathbb {R}}^n\). We introduce a method of using series to represent explicit solutions of the polynomial Dirac equations.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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