氢原子的能量-动量张量:稳定性，$D$ -项和兰姆位移

Q4 Physics and Astronomy

Acta Physica Polonica B, Proceedings Supplement Pub Date : 2023-09-20 DOI:10.5506/aphyspolbsupp.16.7-a19

A. Czarnecki, Y. Liu, S.N. Reza

{"title":"氢原子的能量-动量张量:稳定性，\$D\$ -项和兰姆位移","authors":"A. Czarnecki, Y. Liu, S.N. Reza","doi":"10.5506/aphyspolbsupp.16.7-a19","DOIUrl":null,"url":null,"abstract":"We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we demonstrate a logarithmic enhancement of the $\\mathcal{\\alpha}$ correction to the $D$-term in any state of the hydrogen atom. We contrast this enhancement with the Lamb shift where it is present only in S-states.","PeriodicalId":39158,"journal":{"name":"Acta Physica Polonica B, Proceedings Supplement","volume":"82 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Energy-momentum Tensor of a Hydrogen Atom: Stability, \\\$D\\\$-term, and the Lamb Shift\",\"authors\":\"A. Czarnecki, Y. Liu, S.N. Reza\",\"doi\":\"10.5506/aphyspolbsupp.16.7-a19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we demonstrate a logarithmic enhancement of the $\\\\mathcal{\\\\alpha}$ correction to the $D$-term in any state of the hydrogen atom. We contrast this enhancement with the Lamb shift where it is present only in S-states.\",\"PeriodicalId\":39158,\"journal\":{\"name\":\"Acta Physica Polonica B, Proceedings Supplement\",\"volume\":\"82 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Physica Polonica B, Proceedings Supplement\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5506/aphyspolbsupp.16.7-a19\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B, Proceedings Supplement","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5506/aphyspolbsupp.16.7-a19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}

引用次数: 0

摘要

我们澄清了与能量动量张量的矩阵元素中所谓的D项有关的两个问题。首先，我们证明了在一个稳定系统中，D项可以有任意一个符号，这与它必须是负的说法相反。其次，我们证明了在氢原子的任何状态下$\mathcal{\alpha}$对$D$-项的修正的对数增强。我们将这种增强与Lamb位移进行了对比，Lamb位移只存在于s态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Energy-momentum Tensor of a Hydrogen Atom: Stability, $D$-term, and the Lamb Shift

We clarify two issues related to the so-called $D$-term in matrix elements of the energy-momentum tensor. First, we show that in a stable system, the $D$-term can have either sign, contrary to claims that it must be negative. Second, we demonstrate a logarithmic enhancement of the $\mathcal{\alpha}$ correction to the $D$-term in any state of the hydrogen atom. We contrast this enhancement with the Lamb shift where it is present only in S-states.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Acta Physica Polonica B, Proceedings Supplement Physics and Astronomy-Physics and Astronomy (all)

CiteScore

0.50

自引率

0.00%

发文量

氢原子的能量-动量张量:稳定性，\(D\) -项和兰姆位移

摘要