Schrodinger Equation of a Particle on a Rotating Curved Surface
文献类型：期刊论文
| 作者 | Zong, HS (reprint author), Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China.; 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), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China. |
| 刊名 | CHINESE PHYSICS LETTERS
 |
| 出版日期 | 2016 |
| 卷号 | 33期号:3页码:30301 |
| DOI | http://dx.doi.org/10.1088/0256-307X/33/3/030301 |
| 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. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21742]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Zong, HS (reprint author), Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China.; Zong, HS (reprint author), Linyi Univ, Sch Sci, Dept Phys, Linyi 276005, Peoples R China.; Zong, HS (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Zong, HS ,Du, L,Wang, YL,et al. Schrodinger Equation of a Particle on a Rotating Curved Surface[J]. CHINESE PHYSICS LETTERS,2016,33(3):30301. |
| APA | Zong, HS .,Du, L.,Wang, YL.,Liang, GH.,Kang, GZ.,...&Zong, HS .(2016).Schrodinger Equation of a Particle on a Rotating Curved Surface.CHINESE PHYSICS LETTERS,33(3),30301. |
| MLA | Zong, HS ,et al."Schrodinger Equation of a Particle on a Rotating Curved Surface".CHINESE PHYSICS LETTERS 33.3(2016):30301. |
入库方式： OAI收割
来源：理论物理研究所
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