An improved variational method

ZENG Zhuo-Quan; SHEN Peng-Nian; DING Yi-Bing

doi:10.1088/1674-1137/33/3/006

Chinese Physics C> 2009, Vol. 33> Issue(3) : 191-196 DOI: 10.1088/1674-1137/33/3/006

An improved variational method

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Abstract：
In order to improve the unitarity of the S-matrix, an improved variational formulism is derived by proposing new generating functionals and adopting proper asymptotic boundary conditions for trial relative wave functions. The formulas with the weighted line-column balance for the single-channel and multi-channel scatterings, where the non-central interaction is implicitly considered, are presented. A numerical check is performed with a soluble model in a four coupled channel scattering problem. The result shows that the high accuracy and the unitarity of the S-matrix are reached.

References

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ZENG Zhuo-Quan, SHEN Peng-Nian and DING Yi-Bing. An improved variational method[J]. Chinese Physics C, 2009, 33(3): 191-196. doi: 10.1088/1674-1137/33/3/006

ZENG Zhuo-Quan, SHEN Peng-Nian and DING Yi-Bing. An improved variational method[J]. Chinese Physics C, 2009, 33(3): 191-196. doi: 10.1088/1674-1137/33/3/006 shu

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Received: 2008-05-28
Revised: 2008-10-24

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

An improved variational method

Corresponding author: SHEN Peng-Nian,

Received Date: 2008-05-28

Accepted Date: 2008-10-24

Available Online: 2009-03-05

Abstract:

In order to improve the unitarity of the S-matrix, an improved variational formulism is derived by proposing new generating functionals and adopting proper asymptotic boundary conditions for trial relative wave functions. The formulas with the weighted line-column balance for the single-channel and multi-channel scatterings, where the non-central interaction is implicitly considered, are presented. A numerical check is performed with a soluble model in a four coupled channel scattering problem. The result shows that the high accuracy and the unitarity of the S-matrix are reached.

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An improved variational method

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通讯作者: 陈斌, [email protected]

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