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题名: Schrodinger Equation of a Particle on a Rotating Curved Surface
作者: Du, L ;  Wang, YL ;  Liang, GH ;  Kang, GZ ;  Zong, HS
刊名: CHINESE PHYSICS LETTERS
出版日期: 2016
卷号: 33, 期号:3, 页码:30301
学科分类: Physics
DOI: http://dx.doi.org/10.1088/0256-307X/33/3/030301
通讯作者: Zong, HS (reprint author), Linyi Univ, Sch Sci, Dept Phys, Linyi 276005, Peoples R China. ;  Zong, HS (reprint author), Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China. ;  Zong, HS (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
文章类型: Article
英文摘要: We derive the Schrodinger equation of a particle constrained to move on a rotating curved surface S. Using the thin-layer quantization scheme to confine the particle on S, and with a proper choice of gauge transformation for the wave function, we obtain the well-known geometric potential V-g and an additive Coriolis-induced geometric potential in the co-rotational curvilinear coordinates. This novel effective potential, which is included in the surface Schrodinger equation and is coupled with the mean curvature of S, contains an imaginary part in the general case which gives rise to a non-Hermitian surface Hamiltonian. We find that the non-Hermitian term vanishes when S is a minimal surface or a revolution surface which is axially symmetric around the rolling axis.
类目[WOS]: Physics, Multidisciplinary
关键词[WOS]: QUANTUM-MECHANICS ;  SEMICONDUCTOR ;  NANOTUBES
收录类别: SCI
项目资助者: National Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085, 11535005] ;  Natural Science Foundation of Shangdong Province [ZR2012AM022, ZR2011AM019]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21742
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Du, L,Wang, YL,Liang, GH,et al. Schrodinger Equation of a Particle on a Rotating Curved Surface[J]. CHINESE PHYSICS LETTERS,2016,33(3):30301.
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