| A time-splitting spectral scheme for the Maxwell-Dirac system | |
| Huang, ZY ; Jin, S ; Markowich, PA ; Sparber, C ; Zheng, CX | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | Maxwell-Dirac system time-splitting spectral method semi-classical asymptotics WKB-expansion non-relativistic limit Schrodinger-Poisson system GENERALIZED ZAKHAROV SYSTEM NONRELATIVISTIC LIMIT NUMERICAL-METHODS EQUATIONS EFFICIENT Computer Science, Interdisciplinary Applications Physics, Mathematical |
| 中文摘要 | We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the non-relativistic regimes. The scheme for the Maxwell-Dirac system conserves the Lorentz gauge condition is unconditionally stable and highly efficient as our numerical examples show. In particular, we focus in our examples on the creation of positronic modes in the semi-classical regime and on the electron-positron interaction in the non-relativistic regime. Furthermore, in the non-relativistic regime, our numerical method exhibits uniform convergence in the small parameter delta, which is the ratio of the characteristic speed and the speed of light. (c) 2005 Elsevier Inc. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/13998]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Huang, ZY,Jin, S,Markowich, PA,et al. A time-splitting spectral scheme for the Maxwell-Dirac system[J],2010, 2010. |
| APA | Huang, ZY,Jin, S,Markowich, PA,Sparber, C,&Zheng, CX.(2010).A time-splitting spectral scheme for the Maxwell-Dirac system.. |
| MLA | Huang, ZY,et al."A time-splitting spectral scheme for the Maxwell-Dirac system".(2010). |
| 个性服务 |
| 查看访问统计 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。
修改评论