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Wang, YL; Du, L; Xu, CT; Liu, XJ; Zong, HS; Wang, YL (reprint author), Nanjing Univ, Dept Phys, Inst Acoust, Key Lab Modern Acoust,MOE, Nanjing 210093, Jiangsu, Peoples R China.
Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field
Source PublicationPHYSICAL REVIEW A
Language英语
KeywordQuantum-mechanics Constraints Semiconductor Systems
AbstractWe derive the Pauli equation for a charged spin particle confined to move on a spatially curved surface S in an electromagnetic field. Using the thin-layer quantization scheme to constrain the particle on S, and in the transformed spinor representations, we obtain the well-known geometric potential V-g and the presence of e(-i phi), which can generate additive spin connection geometric potentials by the curvilinear coordinates derivatives, and we find that the two fundamental evidences in the literature [Giulio Ferrari and Giampaolo Cuoghi, Phys. Rev. Lett. 100, 230403 (2008)] are still valid in the present system without source current perpendicular to S. Finally, we apply the surface Pauli equation to spherical, cylindrical, and toroidal surfaces, in which we obtain expectantly the geometric potentials and new spin connection geometric potentials, and find that only the normal Pauli matrix appears in these equations.
2014
ISSN1050-2947
Volume90Issue:4Pages:42117
Subject AreaPhysics
DOI10.1103/PhysRevA.90.042117
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085]; National Basic Research Program of China [2012CB921504]; Natural Science Foundation of Shandong Province of China [ZR2012AM022, ZR2011AM019] ; National Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085]; National Basic Research Program of China [2012CB921504]; Natural Science Foundation of Shandong Province of China [ZR2012AM022, ZR2011AM019] ; National Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085]; National Basic Research Program of China [2012CB921504]; Natural Science Foundation of Shandong Province of China [ZR2012AM022, ZR2011AM019] ; National Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085]; National Basic Research Program of China [2012CB921504]; Natural Science Foundation of Shandong Province of China [ZR2012AM022, ZR2011AM019]
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Cited Times:19[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15610
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWang, YL (reprint author), Nanjing Univ, Dept Phys, Inst Acoust, Key Lab Modern Acoust,MOE, Nanjing 210093, Jiangsu, Peoples R China.
Recommended Citation
GB/T 7714
Wang, YL,Du, L,Xu, CT,et al. Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field[J]. PHYSICAL REVIEW A,2014,90(4):42117.
APA Wang, YL,Du, L,Xu, CT,Liu, XJ,Zong, HS,&Wang, YL .(2014).Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field.PHYSICAL REVIEW A,90(4),42117.
MLA Wang, YL,et al."Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field".PHYSICAL REVIEW A 90.4(2014):42117.
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