Finite temperature dynamic structure function of the free Bose gas
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) SIA(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 SIA(q,ω;T) are also derived and commented. Finally, the q∞ asymptotic behavior is analyzed and discussed in terms of scaling laws.
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