dorsal/arxiv
View SchemaOn the nature of the large-$q$ expansion of the response for a non-relativistic confined system
| Authors | E. Pace, G. Salme, A. S. Rinat |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9312018 |
| URL | https://arxiv.org/abs/nucl-th/9312018 |
| DOI | 10.1016/0370-2693(94)90012-4 |
| Journal | Phys.Lett. B325 (1994) 289-293 |
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 $\delta$-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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"abstract": "We show the equivalence of a previously derived exact expression for the\nresponse of a non-relativistic system with harmonic forces and an infinite sum\nof weighted $\\delta$-functions corresponding to the spectrum. We forward\narguments, indicating that the Gersch-Rodriguez-Smith $1/q$-expansion of the\nresponse does not converge and prove that this expansion is an asymptotic\nseries.",
"arxiv_id": "nucl-th/9312018",
"authors": [
"E. Pace",
"G. Salme",
"A. S. Rinat"
],
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"doi": "10.1016/0370-2693(94)90012-4",
"journal_ref": "Phys.Lett. B325 (1994) 289-293",
"title": "On the nature of the large-$q$ expansion of the response for a non-relativistic confined system",
"url": "https://arxiv.org/abs/nucl-th/9312018"
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