Abstract
Nonlinear response properties in Time-Dependent Hartree–Fock (TDHF) theory are analyzed by diagrammatic techniques and compared with the expression in propagator theory. The term that ensures that the quadratic response function is correct through first order in electron correlation emerges in the coupling term between lower order TDHF amplitudes and causes a violation of particle–hole pair conservation. It is shown diagrammatically that the dynamic hyperpolarizabilities can be expressed by lower order solutions in accordance with the 2n + 1 rule. Keywords: nonlinear response property, TDHF, diagrammatic
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