N-REPRESENTABILITY PROBLEM - CONDITIONS ON GEMINALS

被引:27
作者
RUSKAI, MB
机构
[1] Theoretical Chemistry Institute, University of Wisconsin, Madison
[2] Institut de Physique Théorique, University of Geneva, Geneva
来源
PHYSICAL REVIEW | 1969年 / 183卷 / 01期
关键词
D O I
10.1103/PhysRev.183.129
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The N-representability problem is approached by considering geminal product expansions of symmetric and antisymmetric functions. The N-completeness problem, i.e., 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. © 1969 The American Physical Society.
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页码:129 / &
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