广义MIC-Kepler问题中的Stark效应

IF 0.4 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Journal of Contemporary Physics (Armenian Academy of Sciences) Pub Date : 2025-10-07 DOI:10.1134/S1068337225700513

L. G. Mardoyan

{"title":"广义MIC-Kepler问题中的Stark效应","authors":"L. G. Mardoyan","doi":"10.1134/S1068337225700513","DOIUrl":null,"url":null,"abstract":"<p>The Stark effect in the generalized MIK–Kepler problem is considered. For a discrete energy spectrum, the wave function of the generalized MIK–Kepler problem is presented in parabolic coordinates, and integrals of motion whose eigenfunctions are the parabolic basis. It is shown that in the generalized MIK–Kepler problem, there is a linear Stark effect, completely removing the degeneracy of energy levels in the azimuthal quantum number, and its dipole moment is calculated. An explicit expression for the additional integral of motion for the generalized MIK–Kepler problem in the presence of a constant uniform electric field is obtained.</p>","PeriodicalId":623,"journal":{"name":"Journal of Contemporary Physics (Armenian Academy of Sciences)","volume":"60 2","pages":"142 - 147"},"PeriodicalIF":0.4000,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stark Effect in the Generalized MIC–Kepler Problem\",\"authors\":\"L. G. Mardoyan\",\"doi\":\"10.1134/S1068337225700513\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The Stark effect in the generalized MIK–Kepler problem is considered. For a discrete energy spectrum, the wave function of the generalized MIK–Kepler problem is presented in parabolic coordinates, and integrals of motion whose eigenfunctions are the parabolic basis. It is shown that in the generalized MIK–Kepler problem, there is a linear Stark effect, completely removing the degeneracy of energy levels in the azimuthal quantum number, and its dipole moment is calculated. An explicit expression for the additional integral of motion for the generalized MIK–Kepler problem in the presence of a constant uniform electric field is obtained.</p>\",\"PeriodicalId\":623,\"journal\":{\"name\":\"Journal of Contemporary Physics (Armenian Academy of Sciences)\",\"volume\":\"60 2\",\"pages\":\"142 - 147\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-10-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Contemporary Physics (Armenian Academy of Sciences)\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1068337225700513\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Contemporary Physics (Armenian Academy of Sciences)","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1068337225700513","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

研究了广义MIK-Kepler问题中的Stark效应。对于离散能谱，在抛物坐标系下给出广义MIK-Kepler问题的波函数，并给出特征函数为抛物基的运动积分。证明在广义的MIK-Kepler问题中，存在线性Stark效应，完全消除了方位量子数中能级的简并，并计算了其偶极矩。给出了恒定均匀电场存在下广义MIK-Kepler问题的附加运动积分的显式表达式。

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

Stark Effect in the Generalized MIC–Kepler Problem

The Stark effect in the generalized MIK–Kepler problem is considered. For a discrete energy spectrum, the wave function of the generalized MIK–Kepler problem is presented in parabolic coordinates, and integrals of motion whose eigenfunctions are the parabolic basis. It is shown that in the generalized MIK–Kepler problem, there is a linear Stark effect, completely removing the degeneracy of energy levels in the azimuthal quantum number, and its dipole moment is calculated. An explicit expression for the additional integral of motion for the generalized MIK–Kepler problem in the presence of a constant uniform electric field is obtained.

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

Journal of Contemporary Physics (Armenian Academy of Sciences) PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.00

自引率

66.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Contemporary Physics (Armenian Academy of Sciences) is a journal that covers all fields of modern physics. It publishes significant contributions in such areas of theoretical and applied science as interaction of elementary particles at superhigh energies, elementary particle physics, charged particle interactions with matter, physics of semiconductors and semiconductor devices, physics of condensed matter, radiophysics and radioelectronics, optics and quantum electronics, quantum size effects, nanophysics, sensorics, and superconductivity.