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Schrodinger Equation of a Particle on a Rotating Curved Surface
Du, Long1; Wang, Yong-Long1,2; Liang, Guo-Hua1; Kang, Guang-Zhen1; Zong, Hong-Shi2,3,4
2016-03-01
发表期刊CHINESE PHYSICS LETTERS
卷号33期号:3
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.
文章类型Article
WOS标题词Science & Technology ; Physical Sciences
DOI10.1088/0256-307X/33/3/030301
关键词[WOS]QUANTUM-MECHANICS ; SEMICONDUCTOR ; NANOTUBES
收录类别SCI
语种英语
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)
WOS研究方向Physics
WOS类目Physics, Multidisciplinary
WOS记录号WOS:000374647900001
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文献类型期刊论文
条目标识符http://libir.pmo.ac.cn/handle/332002/16191
专题南极天文中心
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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GB/T 7714
Du, Long,Wang, Yong-Long,Liang, Guo-Hua,et al. Schrodinger Equation of a Particle on a Rotating Curved Surface[J]. CHINESE PHYSICS LETTERS,2016,33(3).
APA Du, Long,Wang, Yong-Long,Liang, Guo-Hua,Kang, Guang-Zhen,&Zong, Hong-Shi.(2016).Schrodinger Equation of a Particle on a Rotating Curved Surface.CHINESE PHYSICS LETTERS,33(3).
MLA Du, Long,et al."Schrodinger Equation of a Particle on a Rotating Curved Surface".CHINESE PHYSICS LETTERS 33.3(2016).
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