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State vectors and propagators in many‐electron theory. A unified approach
Author(s) -
Linderberg Jan,
Öhrn Yngve
Publication year - 1977
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560120114
Subject(s) - propagator , ground state , unitary state , state (computer science) , mathematics , physics , electron , polarization (electrochemistry) , random phase approximation , consistency (knowledge bases) , quantum mechanics , statistical physics , chemistry , discrete mathematics , algorithm , political science , law
A unitary group formulation of the many‐electron problem is employed to give explicit representations of state vectors which are convenient for the discussion of progerties derived from propagatorcalculations. New results are obtained concerning the nature of various random‐phase‐like approximations and ground state representatives are generated from consistency requirements for the spectral resolution of the polarization propagator. The explicit solution admits the calculation of ground state average values for arbitrary operators and a variational upper bound to the ground state energy.