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Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field
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.
2014
发表期刊PHYSICAL REVIEW A
ISSN1050-2947
卷号90期号:4页码:42117
摘要We 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.
部门归属[Wang, Yong-Long ; Du, Long ; Liu, Xiao-Jun] Nanjing Univ, Dept Phys, Inst Acoust, Key Lab Modern Acoust,MOE, Nanjing 210093, Jiangsu, Peoples R China ; [Wang, Yong-Long ; Xu, Chang-Tan] Linyi Univ, Sch Sci, Dept Phys, Linyi 276005, Peoples R China ; [Zong, Hong-Shi] Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China ; [Zong, Hong-Shi] Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China ; [Zong, Hong-Shi] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
关键词Quantum-mechanics Constraints Semiconductor Systems
学科领域Physics
资助者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] ; 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] ; 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]
DOI10.1103/PhysRevA.90.042117
URL查看原文
收录类别SCI
语种英语
资助者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] ; 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] ; 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]
WOS记录号WOS:000343940900003
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15610
专题理论物理所SCI论文
通讯作者Wang, YL (reprint author), Nanjing Univ, Dept Phys, Inst Acoust, Key Lab Modern Acoust,MOE, Nanjing 210093, Jiangsu, Peoples R China.
推荐引用方式
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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