Coordinate transformation and exact solutions of Schrodinger equation with position-dependent effective mass
文献类型：期刊论文
| 作者 | Ju Guo-Xing; Cai Chang-Ying; Xiang Yang; Ren Zhong-Zhou |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2007-06-15 |
| 卷号 | 47页码:1001-1009 |
| 关键词 | coordinate transformation Schrodinger equation position-dependent mass eigenfunction special functions |
| ISSN号 | 0253-6102 |
| 英文摘要 | Using the coordinate transformation method, we solve the one-dimensional Schrodinger equation with position-dependent mass. The explicit expressions for the potentials, energy eigenvalues, and eigenfunctions of the systems are given. The eigenfunctions can be expressed in terms of the Jacobi, Hermite, and generalized Laguerre polynomials. All potentials for these solvable systems have an extra term V-m, which is produced from the dependence of mass on. the position, compared with those for the systems of constant mass. The properties of V-m for several mass functions are discussed. |
| WOS关键词 | NONZERO MINIMAL UNCERTAINTIES ; SHAPE-INVARIANT POTENTIALS ; SOLVABLE POTENTIALS ; SUPERSYMMETRIC APPROACH ; HARMONIC-OSCILLATOR ; SYSTEMS ; GENERATION ; ALGEBRAS ; MOMENTUM |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247224100007 |
| 出版者 | INTERNATIONAL ACADEMIC PUBLISHERS LIMITED |
| 源URL | [http://119.78.100.186/handle/113462/28203]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Ju Guo-Xing |
| 作者单位 | 1.Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China 2.Jinggangshan Univ, Dept Phys, Jian 343009, Peoples R China 3.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ju Guo-Xing,Cai Chang-Ying,Xiang Yang,et al. Coordinate transformation and exact solutions of Schrodinger equation with position-dependent effective mass[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2007,47:1001-1009. |
| APA | Ju Guo-Xing,Cai Chang-Ying,Xiang Yang,&Ren Zhong-Zhou.(2007).Coordinate transformation and exact solutions of Schrodinger equation with position-dependent effective mass.COMMUNICATIONS IN THEORETICAL PHYSICS,47,1001-1009. |
| MLA | Ju Guo-Xing,et al."Coordinate transformation and exact solutions of Schrodinger equation with position-dependent effective mass".COMMUNICATIONS IN THEORETICAL PHYSICS 47(2007):1001-1009. |
入库方式： OAI收割
来源：近代物理研究所
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