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Significance of the response matrix

The response matrix II, defined in (12.3.23) and (12.3.24), enables us to find the time-dependent change in the expectation value of any quantity, B say, as the result of a perturbation (12.3.16) containing the operator A. It therefore yields an approximation to the FDP /T(BA oj) defined formally in Section 12.1. [Pg.433]

The symmetry properties of the FDPs, noted in Section 12.1, are reflected in those of the response matrix. Thus the n matrix that appears [Pg.433]

On putting the row and column submatrices of (12.4.3) in reverse order and taking the complex conjugate (noting the property (12.3.20)), we then obtain, from (12.4.4), [Pg.434]

The two terms in (12.4.2) are therefore complex-conjugate, and the fluctuation d(B) is real. [Pg.434]

The effect of the ie term is revealed when we consider the time variation 6(B) resulting from the perturbation [Pg.434]


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