A quadrupole oscillator as an integrable model

IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physics Letters A Pub Date : 2024-11-05 DOI:10.1016/j.physleta.2024.130032
{"title":"A quadrupole oscillator as an integrable model","authors":"","doi":"10.1016/j.physleta.2024.130032","DOIUrl":null,"url":null,"abstract":"<div><div>A quadrupole oscillator is presented as an integrable model in the Born-Oppenheimer formalism with an electronic Hamiltonian being the quadrupole tensor. The electronic states of present concern are associated with a doubly degenerate positive eigenvalue of the electronic Hamiltonian, and accordingly the nuclear Hamiltonian takes a <span><math><mn>2</mn><mo>×</mo><mn>2</mn></math></span> matrix form. While the potential function for nuclear motion is proportional to <span><math><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>, the kinetic energy operator is rather complicated, containing coupling terms with a Berry connection through adiabatic approximation. The energy eigenvalues, which receive a modification by a Chern number, get closer to those for the 3D isotropic harmonic oscillator if the angular momentum quantum number becomes sufficiently large.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":null,"pages":null},"PeriodicalIF":2.3000,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960124007266","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

A quadrupole oscillator is presented as an integrable model in the Born-Oppenheimer formalism with an electronic Hamiltonian being the quadrupole tensor. The electronic states of present concern are associated with a doubly degenerate positive eigenvalue of the electronic Hamiltonian, and accordingly the nuclear Hamiltonian takes a 2×2 matrix form. While the potential function for nuclear motion is proportional to r2, the kinetic energy operator is rather complicated, containing coupling terms with a Berry connection through adiabatic approximation. The energy eigenvalues, which receive a modification by a Chern number, get closer to those for the 3D isotropic harmonic oscillator if the angular momentum quantum number becomes sufficiently large.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
作为可积分模型的四极振荡器
在玻恩-奥本海默形式主义中,四极振荡器是一个可积分模型,其电子哈密顿是四极张量。目前关注的电子态与电子哈密顿的双变性正特征值有关,因此核哈密顿采用 2×2 矩阵形式。核运动的势函数与 r2 成正比,而动能算子则相当复杂,通过绝热近似,包含了与贝里联系的耦合项。如果角动量量子数变得足够大,能量特征值就会变得更接近三维各向同性谐振子的能量特征值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Physics Letters A
Physics Letters A 物理-物理:综合
CiteScore
5.10
自引率
3.80%
发文量
493
审稿时长
30 days
期刊介绍: Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.
期刊最新文献
A quadrupole oscillator as an integrable model Three-leg bosonic triangular ladder in a staggered magnetic field Triple and quadruple metal gate work function engineering to improve the performance of junctionless double surrounding gate In0.53Ga0.47As nanotube MOSFET for the upcoming Sub 3 nm technology node Multi-hump solitons under fractional diffraction and inhomogeneous cubic nonlinearity in a quadratic potential The stable conversion for atom-homonuclear-trimer via the resonance-locked inverse engineering
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1