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Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface
Wang, Yong-Long1,2; Zong, Hong-Shi1,3,4
2016
Source PublicationANNALS OF PHYSICS
Volume364Pages:68-78
AbstractWe clearly refine the fundamental framework of the thin-layer quantization procedure, and further develop the procedure by taking the proper terms of degree one in q(3) (q(3) denotes the curvilinear coordinate variable perpendicular to curved surface) back into the surface quantum equation. The well-known geometric potential and kinetic term are modified by the surface thickness. Applying the developed formalism to a toroidal system obtains the modification for the kinetic term and the modified geometric potential including the influence of the surface thickness. (C) 2015 Elsevier Inc. All rights reserved.
KeywordThin-layer Quantization Formalism Geometric Potential Constrained Systems
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1016/j.aop.2015.10.019
WOS KeywordMECHANICS ; CONSTRAINTS
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000368565600005
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/16116
Collection南极天文中心
Affiliation1.Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China
2.Linyi Univ, Sch Sci, Dept Phys, Linyi 276005, Peoples R China
3.Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China
4.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wang, Yong-Long,Zong, Hong-Shi. Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface[J]. ANNALS OF PHYSICS,2016,364:68-78.
APA Wang, Yong-Long,&Zong, Hong-Shi.(2016).Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface.ANNALS OF PHYSICS,364,68-78.
MLA Wang, Yong-Long,et al."Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface".ANNALS OF PHYSICS 364(2016):68-78.
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