On the nature of the large-$q$ expansion of the response for a non-relativistic confined system

Details On the nature of the large-$q$ expansion of the response for a non-relativistic confined system On the nature of the large-$q$ expansion of the response for a non-relativistic confined system

1993-12-22

arxiv.org/abs/nucl-th/9312018v1

Phys.Lett. B325 (1994) 289-293

Physics

Nuclear Physics

Nuclear Theory

8 pages, appended ps file for figs, report no's INFN-ISS 93/9; WIS-93/71/Nov-PH

Scientific paper

10.1016/0370-2693(94)90012-4

We show the equivalence of a previously derived exact expression for the response of a non-relativistic system with harmonic forces and an infinite sum of weighted $\delta$-functions corresponding to the spectrum. We forward arguments, indicating that the Gersch-Rodriguez-Smith $1/q$-expansion of the response does not converge and prove that this expansion is an asymptotic series.

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