Analytical structure matching and very precise approach to the Coulombic quantum three-body problem

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	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
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
关键词	Coupled Equations Expansion Systems
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.
	2001
ISSN	0253-6102
卷号	35 期号:1 页码:71-77
学科领域	Physics
收录类别	SCI
引用统计
文献类型	期刊论文
条目标识符	http://ir.itp.ac.cn/handle/311006/12832
专题	理论物理所科研产出_SCI论文
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.

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