Numerical instability in Rayleigh-Schrodinger quantum mechanics
文献类型：期刊论文
| 作者 | Hai, WH; Zhu, XW; Feng, M; Shi, L; Gao, KL; Fang, XM; Chong, GS |
| 刊名 | JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
 |
| 出版日期 | 2001-03-16 |
| 卷号 | 34期号:10页码:L79-L87 |
| 英文摘要 | The most physically interesting systems are not exactly solvable in quantum mechanics. For one-dimensional bound systems without exact solutions, we analytically and numerically find that the Rayleigh-Schrodinger perturbed series sensitively depends on an unsolvable integration, which leads to numerical instability in quantum mechanics. By using an exact formal solution of the non-homogeneous Schrodinger equation, we demonstrate the existence of analytically bound states and propose a simple scheme to truncate infinity so that the instability difficulty is avoided. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Physics, Multidisciplinary ; Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | PERTURBATION-THEORY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000168074700001 |
| 公开日期 | 2015-12-01 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8569]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Hunan Normal Univ, Dept Phys, Changsha 410081, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China 3.Shaoyang Teachers Inst, Dept Phys, Hunan 422001, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hai, WH,Zhu, XW,Feng, M,et al. Numerical instability in Rayleigh-Schrodinger quantum mechanics[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,2001,34(10):L79-L87. |
| APA | Hai, WH.,Zhu, XW.,Feng, M.,Shi, L.,Gao, KL.,...&Chong, GS.(2001).Numerical instability in Rayleigh-Schrodinger quantum mechanics.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,34(10),L79-L87. |
| MLA | Hai, WH,et al."Numerical instability in Rayleigh-Schrodinger quantum mechanics".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 34.10(2001):L79-L87. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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