Knowledge Management System of Institute of Theoretical Physics, CAS
| Wang, YL; Lai, MY; Wang, F; Zong, HS; Chen, YF | |
| Geometric effects resulting from square and circular confinements for a particle constrained to a space curve | |
| Source Publication | PHYSICAL REVIEW A
 |
| Language | 英语 |
| Keyword | QUANTUM-MECHANICS SURFACE |
| Abstract | Investigating the geometric effects resulting from the detailed behaviors of the confining potential, we consider square and circular confinements to constrain a particle to a space curve. We find a torsion-induced geometric potential and a curvature-induced geometric momentum just in the square case, while a geometric gauge potential solely in the circular case. In the presence of electromagnetic field, a geometrically induced magnetic moment couples with magnetic field as an induced Zeeman coupling only for the circular confinement also. As spin-orbit interaction is considered, we find some additional terms for the spin-orbit coupling, which are induced not only by torsion, but also curvature. Moreover, in the circular case, the spin also couples with an intrinsic angular momentum, which describes the azimuthal motions mapped on the space curve. As an important conclusion for the thin-layer quantization approach, some substantial geometric effects result from the confinement boundaries. Finally, these results are proved on a helical wire. |
| 2018 | |
| ISSN | 2469-9926 |
| Volume | 97Issue:4Pages:42108 |
| Subject Area | Optics ; Physics |
| MOST Discipline Catalogue | Optics ; Physics, Atomic, Molecular & Chemical |
| DOI | 10.1103/PhysRevA.97.042108 |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/22924 |
| Collection | SCI期刊论文 |
| Affiliation | 1.[Wang, Yong-Long 2.Nanjing Univ, Dept Mat Sci & Engn, Natl Lab Solid State Microstruct, Nanjing 210093, Jiangsu, Peoples R China 3.Linyi Univ, Sch Phys & Elect Engn, Linyi 276005, Peoples R China 4.Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, Peoples R China 5.[Lai, Meng-Yun 6.Wang, Fan 7.Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China 8.Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China 9.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, YL,Lai, MY,Wang, F,et al. Geometric effects resulting from square and circular confinements for a particle constrained to a space curve[J]. PHYSICAL REVIEW A,2018,97(4):42108. |
| APA | Wang, YL,Lai, MY,Wang, F,Zong, HS,&Chen, YF.(2018).Geometric effects resulting from square and circular confinements for a particle constrained to a space curve.PHYSICAL REVIEW A,97(4),42108. |
| MLA | Wang, YL,et al."Geometric effects resulting from square and circular confinements for a particle constrained to a space curve".PHYSICAL REVIEW A 97.4(2018):42108. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Geometric effects re（394KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | Application Full Text | |
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