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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
发表期刊PHYSICAL REVIEW A
语种英语
关键词QUANTUM-MECHANICS SURFACE
摘要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
ISSN2469-9926
卷号97期号:4页码:42108
学科领域Optics ; Physics
学科门类Optics ; Physics, Atomic, Molecular & Chemical
DOI10.1103/PhysRevA.97.042108
收录类别SCIE
引用统计
被引频次:6[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22924
专题理论物理所科研产出_SCI论文
作者单位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
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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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