N-Representability Problem: Conditions on Geminals

N-Representability Problem: Conditions on Geminals
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N-表示性问题:双子座的条件

DOI:
10.1103/physrev.183.129
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发表时间:
1969
期刊:
影响因子:
--
通讯作者:
M. Ruskai
M. Ruskai
中科院分区:
--
文献类型:
--
作者:
M. Ruskai

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The N-representability problem is approached by considering geminal product expansions of symmetric and antisymmetric functions. The N-completeness problem, ie, the problem of determining when a set of geminals is a suitable basis for expanding symmetric or antisymmetric N-particle functions, is considered. New necessary conditions are given for both N-completeness and N-representability. In some cases, one can also obtain sufficient conditions; examples of such cases are discussed. The circumstances under which a density matrix can be derived from two or more different functions are also treated. Finally, extensions to higher order are also mentioned.