Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface

doi:http://dx.doi.org/10.1016/j.aop.2015.10.019

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface
	Wang, YL ; Zong, HS
刊名	ANNALS OF PHYSICS
	2016
卷号	364 页码:68-78
关键词	Thin-layer quantization formalism MECHANICS Geometric potential CONSTRAINTS Constrained systems
DOI	http://dx.doi.org/10.1016/j.aop.2015.10.019
英文摘要	We 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.
学科主题	Physics
语种	英语
资助机构	National Natural Science Foundation of China [11047020, 11404157, 11275097, 11475085, 11535005] ; Natural Science Foundation of Shandong Province of China [ZR2012AM022, ZR2011AM019]
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23285]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.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.[Wang, Yong-Long 5.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, YL,Zong, HS. 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, YL,&Zong, HS.(2016).Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface.ANNALS OF PHYSICS,364,68-78.
MLA	Wang, YL,et al."Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface".ANNALS OF PHYSICS 364(2016):68-78.