Wigner measure and the semiclassical limit of Schrodinger-Poisson equations
文献类型：期刊论文
| 作者 | Zhang, P
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2003-01-28 |
| 卷号 | 34期号:3页码:700-718 |
| 关键词 | Schrodinger-Poisson Euler-Poisson Vlasov-Poisson Wigner measure Wigner transformation pseudodifferential operator |
| ISSN号 | 0036-1410 |
| 英文摘要 | The wave function {psi(epsilon)(t,x)} of single particle approximation, which is used in the study of quantum transportation in some semiconductive devices, satisfies Schrodinger-Poisson equations. It is well known that the Wigner transformation f(epsilon)(t,x,xi) of the corresponding wave function psi(epsilon)(t,x) satisfies the so-called Wigner Poisson equations. We pro e here that in any space dimension, with the initial data of the form rootrho(0)(epsilon)(x) exp(i/epsilon S-epsilon(x)) to the wave function, and before the formation of vortices, the Wigner measure f(t,x,xi), which is the weak limit of f(epsilon)(t,x,xi) as the normalized Planck constant epsilon approaches 0, satisfies Vlasov-Poisson equations, and the limits of the quantum density and momentum to the Schrodinger Poisson equations satisfy the pressureless Euler-Poisson equations. |
| 语种 | 英语 |
| WOS记录号 | WOS:000180883500009 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18250]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, P |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, P. Wigner measure and the semiclassical limit of Schrodinger-Poisson equations[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2003,34(3):700-718. |
| APA | Zhang, P.(2003).Wigner measure and the semiclassical limit of Schrodinger-Poisson equations.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,34(3),700-718. |
| MLA | Zhang, P."Wigner measure and the semiclassical limit of Schrodinger-Poisson equations".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 34.3(2003):700-718. |
入库方式： OAI收割
来源：数学与系统科学研究院
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