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Du, L; Wang, YL; Liang, GH; Kang, GZ; Zong, HS; 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.
Schrodinger Equation of a Particle on a Rotating Curved Surface
Source PublicationCHINESE PHYSICS LETTERS
Language英语
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.
2016
Volume33Issue:3Pages:30301
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/0256-307X/33/3/030301
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085, 11535005] ; National Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085, 11535005] ; National Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085, 11535005] ; National Natural Science Foundation of China [11047020, 11404157, 11274166, 11275097, 11475085, 11535005] ; Natural Science Foundation of Shangdong Province [ZR2012AM022, ZR2011AM019] ; Natural Science Foundation of Shangdong Province [ZR2012AM022, ZR2011AM019] ; Natural Science Foundation of Shangdong Province [ZR2012AM022, ZR2011AM019] ; Natural Science Foundation of Shangdong Province [ZR2012AM022, ZR2011AM019]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21742
CollectionSCI期刊论文
Corresponding AuthorZong, 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.
Recommended Citation
GB/T 7714
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.
APA Du, L.,Wang, YL.,Liang, GH.,Kang, GZ.,Zong, HS.,...&Zong, HS .(2016).Schrodinger Equation of a Particle on a Rotating Curved Surface.CHINESE PHYSICS LETTERS,33(3),30301.
MLA Du, L,et al."Schrodinger Equation of a Particle on a Rotating Curved Surface".CHINESE PHYSICS LETTERS 33.3(2016):30301.
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