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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 PublicationPHYSICAL REVIEW A
Language英语
KeywordQUANTUM-MECHANICS SURFACE
AbstractInvestigating 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
ISSN2469-9926
Volume97Issue:4Pages:42108
Subject AreaOptics ; Physics
MOST Discipline CatalogueOptics ; Physics, Atomic, Molecular & Chemical
DOI10.1103/PhysRevA.97.042108
Indexed BySCIE
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22924
Collection理论物理所科研产出_SCI论文
Affiliation1.[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.
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