Development of a confined variational method for elastic scattering

Development of a confined variational method for elastic scattering
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弹性散射有限变分法的发展

DOI:
10.1103/physreva.78.042705
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发表时间:
2008
期刊:
影响因子:
2.9
通讯作者:
K. Varga
K. Varga
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Jun;J. Mitroy;K. Varga

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结果表明,在人工限制势的影响下计算的散射哈密顿量的离散能量可用于确定其相移。在限制势的影响下具有相同能量的两个势在去除限制势时在该能量处具有完全相同的相移。因此,复杂多体问题的相移可以通过求解围域势影响下的薛定谔方程来提取,然后参考在相同围域势下计算的更简单的模型势的能量和相移。对实际系统的计算给出了 e-H 和 e-He 系统非常精确的相移。
It is shown that the discrete energies of a scattering Hamiltonian calculated under the influence of an artificial confining potential can be used to determine its phase shifts. Two potentials that have the same energy under the influence of the confining potential have exactly the same phase shift at that energy when the confining potential is removed. Thus the phase shifts of a complicated many-body problem can be extracted by solving the Schrodinger equation under the influence of the confining potential, and then making reference to the energies and phase shifts of a much simpler model potential calculated in the same confining potential. Calculations on real systems gave very precise phase shifts for the e  -H and e  -He systems.