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Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
Wang, Yong-Long1,2,3; Jiang, Hua3; Zong, Hong-Shi4,5,6
2017-08-09
Source PublicationPHYSICAL REVIEW A
ISSN2469-9926
Volume96Issue:2Pages:10
Corresponding AuthorWang, Yong-Long(wangyonglong@lyu.edu.cn)
AbstractIn the spirit of the thin-layer quantization approach, we give the formula of the geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space. The geometric contributions can result from the reduced commutation relation between the acted function depending on normal variable and the normal derivative. According to the formula, we obtain the geometric potential, geometric momentum, geometric orbital angular momentum, geometric linear Rashba, and cubic Dresselhaus spin-orbit couplings. As an example, a truncated cone surface is considered. We find that the geometric orbital angular momentum can provide an azimuthal polarization for spin, and the sign of the geometric Dresselhaus spin-orbit coupling can be flipped through the inclination angle of generatrix.
DOI10.1103/PhysRevA.96.022116
WOS KeywordQUANTUM-MECHANICS ; CARBON NANOTUBES ; CURVATURE ; MOTION ; SPIN
Indexed BySCI
Language英语
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000407262400003
PublisherAMER PHYSICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/22602
Collection中国科学院紫金山天文台
Corresponding AuthorWang, Yong-Long
Affiliation1.Nanjing Univ, Dept Mat Sci & Engn, Natl Lab Solid State Microstruct, Nanjing 210093, Jiangsu, Peoples R China
2.Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, Peoples R China
3.Linyi Univ, Sch Phys & Elect Engn, Linyi 276005, Peoples R China
4.Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China
5.Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China
6.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wang, Yong-Long,Jiang, Hua,Zong, Hong-Shi. Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space[J]. PHYSICAL REVIEW A,2017,96(2):10.
APA Wang, Yong-Long,Jiang, Hua,&Zong, Hong-Shi.(2017).Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space.PHYSICAL REVIEW A,96(2),10.
MLA Wang, Yong-Long,et al."Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space".PHYSICAL REVIEW A 96.2(2017):10.
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