EXPANSION AND COMPLETENESS THEOREMS FOR OPERATOR MANIFOLDS

被引：70
作者：
DALGAARD, E
机构：
[1] Department of Chemistry, Aarhus University, Aarhus
来源：
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 1979年 / 15卷 / 02期
关键词：
D O I：
10.1002/qua.560150204
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
Some expansion and completeness theorems for operator manifolds, which are currently being employed in propagator theory, are derived. It is shown that excitation or ionization operators satisfying the conditions Q Λ†|0〉 = |Λ〉 and QΛ|0〉 = 0 for general excited states |Λ〉 and reference state |0〉 may be expanded uniquely in particular sets of basis operators. These results are then used to discuss rigorous expressions for fermion propagators. Copyright © 1979 John Wiley & Sons, Inc.
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页码：169 / 180
页数：12
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