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Finite temperature dynamic structure function of the free Bose gas

F. Mazzanti·A. Polls
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Abstract

A detailed calculation of the finite temperature dynamic structure function of the free Bose gas is presented and discussed. After a short derivation of the expressions describing the exact response $S(q,ω;T)$ and the Impulse Approximation (IA) $S_{IA}(q,ω;t)$, their main properties and their evolution with q and T are analyzed. The lowest order energy weighted sum rules of both $S(q,ω;T)$ and $S_{IA}(q,ω;T)$ are also derived and commented. Finally, the $q\to\infty$ asymptotic behavior is analyzed and discussed in terms of scaling laws.

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F. Mazzanti, A. Polls. 2000-09-12. Finite temperature dynamic structure function of the free Bose gas. https://doi.org/10.1016/s0375-9601(00)00607-1

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