%0 Journal Article %T Dynamic Structure Function in 3he-4he Mixtures %A J. Boronat %A F. Dalfovo %A F. Mazzanti %A A. Polls %J Physics %D 1993 %I arXiv %R 10.1016/0921-4526(94)90759-5 %X Relevant features of the dynamic structure function $S(q,\omega)$ in $^3$He-$^4$He mixtures at zero temperature are investigated starting from known properties of the ground state. Sum rules are used to fix rigorous constraints to the different contributions to $S(q,\omega)$, coming from $^3$He and $^4$He elementary excitations, as well as to explore the role of the cross term $S^{(3,4)}(q,\omega)$. Both the low-$q$ (phonon-roton $^4$He excitations and 1p-1h $^3$He excitations) and high-$q$ (deep inelastic scattering) ranges are discussed. %U http://arxiv.org/abs/cond-mat/9303005v1