Geometric effects resulting from square and circular confinements for a particle constrained to a space curve

doi:10.1103/PhysRevA.97.042108

	Geometric effects resulting from square and circular confinements for a particle constrained to a space curve
	Wang, Yong-Long 1,2,3; Lai, Meng-Yun 4; Wang, Fan 4; Zong, Hong-Shi 4,5,6; Chen, Yan-Feng 1,3
刊名	PHYSICAL REVIEW A
	2018-04-12
卷号	97 期号:4 页码:7
ISSN号	2469-9926
DOI	10.1103/PhysRevA.97.042108
通讯作者	Wang, Yong-Long(wangyonglong@lyu.edu.cn)
英文摘要	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.
WOS关键词	QUANTUM-MECHANICS ; SURFACE
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000429772000004
内容类型	期刊论文
源URL	[http://libir.pmo.ac.cn/handle/332002/22481]
专题	中国科学院紫金山天文台
通讯作者	Wang, Yong-Long
作者单位	1.Nanjing Univ, Dept Mat Sci & Engn, Natl Lab Solid State Microstruct, Nanjing 210093, Jiangsu, Peoples R China 2.Linyi Univ, Sch Phys & Elect Engn, Linyi 276005, Peoples R China 3.Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, 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
推荐引用方式 GB/T 7714	Wang, Yong-Long,Lai, Meng-Yun,Wang, Fan,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):7.
APA	Wang, Yong-Long,Lai, Meng-Yun,Wang, Fan,Zong, Hong-Shi,&Chen, Yan-Feng.(2018).Geometric effects resulting from square and circular confinements for a particle constrained to a space curve.PHYSICAL REVIEW A,97(4),7.
MLA	Wang, Yong-Long,et al."Geometric effects resulting from square and circular confinements for a particle constrained to a space curve".PHYSICAL REVIEW A 97.4(2018):7.