{"title":"与特殊正交多项式相关的狄拉克-洛伦兹标量势的一个连续参数族","authors":"Suman Banerjee, Rajesh Kumar Yadav","doi":"10.1142/s0217751x23501841","DOIUrl":null,"url":null,"abstract":"<p>We extend our recent works [<i>Int. J. Mod. Phys.</i> A <b>38</b>, 2350069 (2023)] and obtain one-parameter <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mo stretchy=\"false\">(</mo><mi>λ</mi><mo stretchy=\"false\">)</mo></math></span><span></span> family of rationally extended Dirac–Lorentz scalar potentials with their explicit solutions in terms of <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>X</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span><span></span> exceptional orthogonal polynomials. We further show that as the parameter <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>λ</mi><mo>→</mo><mn>0</mn></math></span><span></span> or <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mo>−</mo><mn>1</mn></math></span><span></span>, we get the corresponding rationally extended Pursey and the rationally extended Abraham–Moses-type of scalar potentials, respectively, which have one bound state less than the starting scalar potentials.</p>","PeriodicalId":50309,"journal":{"name":"International Journal of Modern Physics a","volume":"55 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"One continuous parameter family of Dirac–Lorentz scalar potentials associated with exceptional orthogonal polynomials\",\"authors\":\"Suman Banerjee, Rajesh Kumar Yadav\",\"doi\":\"10.1142/s0217751x23501841\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We extend our recent works [<i>Int. J. Mod. Phys.</i> A <b>38</b>, 2350069 (2023)] and obtain one-parameter <span><math altimg=\\\"eq-00001.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mo stretchy=\\\"false\\\">(</mo><mi>λ</mi><mo stretchy=\\\"false\\\">)</mo></math></span><span></span> family of rationally extended Dirac–Lorentz scalar potentials with their explicit solutions in terms of <span><math altimg=\\\"eq-00002.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><msub><mrow><mi>X</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span><span></span> exceptional orthogonal polynomials. We further show that as the parameter <span><math altimg=\\\"eq-00003.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mi>λ</mi><mo>→</mo><mn>0</mn></math></span><span></span> or <span><math altimg=\\\"eq-00004.gif\\\" display=\\\"inline\\\" overflow=\\\"scroll\\\"><mo>−</mo><mn>1</mn></math></span><span></span>, we get the corresponding rationally extended Pursey and the rationally extended Abraham–Moses-type of scalar potentials, respectively, which have one bound state less than the starting scalar potentials.</p>\",\"PeriodicalId\":50309,\"journal\":{\"name\":\"International Journal of Modern Physics a\",\"volume\":\"55 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-02-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Modern Physics a\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217751x23501841\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modern Physics a","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217751x23501841","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
摘要
我们扩展了最近的工作[Int. J. Mod. Phys. A 38, 2350069 (2023)]，得到了合理扩展的狄拉克-洛伦兹标量势的一参数（λ）族，它们的显式解是 Xm 例外正交多项式。我们进一步证明，当参数λ→0或-1时，我们分别得到相应的合理扩展的帕西（Pursey）和合理扩展的亚伯拉罕-摩西（Abraham-Moses）型标量势，它们比起始标量势少一个束缚态。
One continuous parameter family of Dirac–Lorentz scalar potentials associated with exceptional orthogonal polynomials
We extend our recent works [Int. J. Mod. Phys. A 38, 2350069 (2023)] and obtain one-parameter family of rationally extended Dirac–Lorentz scalar potentials with their explicit solutions in terms of exceptional orthogonal polynomials. We further show that as the parameter or , we get the corresponding rationally extended Pursey and the rationally extended Abraham–Moses-type of scalar potentials, respectively, which have one bound state less than the starting scalar potentials.
期刊介绍：
Started in 1986, IJMPA has gained international repute as a high-quality scientific journal. It consists of important review articles and original papers covering the latest research developments in Particles and Fields, and selected topics intersecting with Gravitation and Cosmology. The journal also features articles of long-standing value and importance which can be vital to research into new unexplored areas.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
