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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
Source PublicationCHINESE PHYSICS LETTERS
Volume33Issue:3
AbstractWe 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 HeadingsScience & Technology ; Physical Sciences
DOI10.1088/0256-307X/33/3/030301
WOS KeywordQUANTUM-MECHANICS ; SEMICONDUCTOR ; NANOTUBES
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000374647900001
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/16191
Collection南极天文中心
Affiliation1.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
Recommended Citation
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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