ITP OpenIR  > 理论物理所1978-2010年知识产出
Analytical structure matching and very precise approach to the Coulombic quantum three-body problem
Tan, SN; Tan, SN , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
2001
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号35期号:1页码:71-77
摘要A powerful approach to solve the Coulombic quantum three-body problem is proposed. The approach is exponentially convergent and more efficient than the hyperspherical coordinate mettled and the correlation-function hyperspherical harmonic method. This approach is numerically competitive with the variational methods, such as that using the Hylleraas-type basis functions. Numerical comparisons are made to demonstrate the efficiency of this approach, by calculating the nonrelativistic and infinite-nuclear-mass limit of the ground state energy of the helium atom. The exponential convergency of this approach is due to the full matching between the analytical structure of the basis functions that are used in tl,is paper and the true wavefunction. This full matching was not reached by most other methods. For example, the variational method using the Hyllcraas-type basis does not reflects the logarithmic singularity of the true wavefunction at the origin as predicted by Bartlett and Fock. Two important approaches are proposed in this work to reach this full matching: the coordinate transformation method and the asymptotic series method. Besides these, this work makes use of the least square method to substitute complicated numerical integrations in solving the Schrodinger equation without much loss of accuracy, which is routinely used by people to fit a theoretical curve with discrete experimental data, but here is used to simplify the computation.
部门归属Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Coupled Equations Expansion Systems
学科领域Physics
收录类别SCI
WOS记录号WOS:000167529500016
引用统计
被引频次:7[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12832
专题理论物理所1978-2010年知识产出
通讯作者Tan, SN , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
推荐引用方式
GB/T 7714
Tan, SN,Tan, SN , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.. Analytical structure matching and very precise approach to the Coulombic quantum three-body problem[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2001,35(1):71-77.
APA Tan, SN,&Tan, SN , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2001).Analytical structure matching and very precise approach to the Coulombic quantum three-body problem.COMMUNICATIONS IN THEORETICAL PHYSICS,35(1),71-77.
MLA Tan, SN,et al."Analytical structure matching and very precise approach to the Coulombic quantum three-body problem".COMMUNICATIONS IN THEORETICAL PHYSICS 35.1(2001):71-77.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Analytical structure(154KB) 开放获取使用许可请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Tan, SN]的文章
[Tan, SN , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.]的文章
百度学术
百度学术中相似的文章
[Tan, SN]的文章
[Tan, SN , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.]的文章
必应学术
必应学术中相似的文章
[Tan, SN]的文章
[Tan, SN , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

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。