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

被引：30
|
作者：
Wang, Yong-Long [1 ,2 ]
Zong, Hong-Shi [1 ,3 ,4 ]
机构：
[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] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
来源：
ANNALS OF PHYSICS | 2016年 / 364卷
基金：
中国国家自然科学基金;
关键词：
Thin-layer quantization formalism; Geometric potential; Constrained systems; MECHANICS; CONSTRAINTS;
D O I：
10.1016/j.aop.2015.10.019
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
引用
收藏
页码：68 / 78
页数：11
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