On the nature of the large-q expansion of the response for a non-relativistic confined system
E. Pace, G. Salme, A. S. Rinat
Abstract
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 δ-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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