PARTICLE-HOLE MATRIX - ITS CONNECTION WITH SYMMETRIES AND COLLECTIVE FEATURES OF GROUND STATE
PARTICLE-HOLE MATRIX - ITS CONNECTION WITH SYMMETRIES AND COLLECTIVE FEATURES OF GROUND STATE
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DOI：
10.1063/1.1664770
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发表时间：
1969-01-01
影响因子：
1.3
通讯作者：
ROSINA, M
中科院分区：
文献类型：
--
作者：
GARROD, C;ROSINA, M
详细研究了“粒子-空穴矩阵”Gabcd≡< g|（A†b−ρab）†（c†d−ρcd）| g>的性质，其中| g>为多费米子基态，ρab为一体密度矩阵。结果表明，粒子-空穴矩阵的零特征值与基态的单体对称性密切相关。研究还表明，Gabcd的大特征值与基态的集体特征密切相关。
< jats: p> A detailed study is made of the properties of the``particle-hole matrix''Gabcd≡< g|(a† b− ρab)†(c† d− ρcd)| g>, where| g> is a many-fermion ground state and ρab is the 1-body density matrix. It is shown that the zero eigenvalues of the particle-hole matrix are intimately and simply related to the one-body symmetries of the ground state. It is also shown that the large eigenvalues of Gabcd are closely related to the collective features of the ground state.