  The dynamic linear response theory of a general Ising model weakly coupled to
a heat bath is derived employing the quantum statistical theory of Mori,
treating the Hamiltonian of the spin bath coupling as a perturbation, and
applying the Markovian approximation. Both the dynamic susceptibility and the
relaxation function are expressed in terms of the static susceptibility and the
static internal field distribution function. For the special case of the SK
spin glass this internal field distribution can be related to the solutions of
the TAP equations in the entire temperature region. Application of this new
relation and the use of numerical solutions of the modified TAP equations leads
for finite but large systems to explicit results for the distribution function
and for dynamic linear response functions. A detailed discussion is presented
which includes finite size effects. Due to the derived temperature dependence
of the Onsager-Casimir coefficients a frequency-dependent shift of the cusp
temperature of the real part of the dynamic susceptibility is found.
