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题名: Schrodinger Equation of a Particle on a Rotating Curved Surface
作者: Du, Long1; Wang, Yong-Long1, 2; Liang, Guo-Hua1; Kang, Guang-Zhen1; Zong, Hong-Shi2, 3, 4
刊名: CHINESE PHYSICS LETTERS
出版日期: 2016-03-01
卷号: 33, 期号:3
DOI: 10.1088/0256-307X/33/3/030301
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.
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Physics, Multidisciplinary
研究领域[WOS]: Physics
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 ; Natural Science Foundation of Shangdong Province(ZR2012AM022 ; 11404157 ; ZR2011AM019) ; 11274166 ; 11275097 ; 11475085 ; 11535005)
语种: 英语
WOS记录号: WOS:000374647900001
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内容类型: 期刊论文
URI标识: http://libir.pmo.ac.cn/handle/332002/16201
Appears in Collections:南极天文中心_期刊论文

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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.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
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