Finite temperature dynamic structure function of the free Bose gas

Details Finite temperature dynamic structure function of the free Bose gas Finite temperature dynamic structure function of the free Bose gas

2000-09-12

arxiv.org/abs/cond-mat/0009170v1

Physics

Condensed Matter

To appear in Phys.Lett.A, seven figures

Scientific paper

10.1016/S0375-9601(00)00607-1

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 $S(q,\omega;T)$ and the Impulse Approximation (IA) $S_{IA}(q,\omega;t)$, their main properties and their evolution with q and T are analyzed. The lowest order energy weighted sum rules of both $S(q,\omega;T)$ and $S_{IA}(q,\omega;T)$ 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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