dorsal/arxiv
View SchemaComplex Scaled Spectrum Completeness for Coupled Channels
| Authors | B. G. Giraud, K. Kato, A. Ohnishi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503049 |
| URL | https://arxiv.org/abs/nucl-th/0503049 |
| DOI | 10.1088/0305-4470/37/48/004 |
| Journal | J.Phys.A37:11575,2004 |
Abstract
The Complex Scaling Method (CSM) provides scattering wave functions which regularize resonances and suggest a resolution of the identity in terms of such resonances, completed by the bound states and a smoothed continuum. But, in the case of inelastic scattering with many channels, the existence of such a resolution under complex scaling is still debated. Taking advantage of results obtained earlier for the two channel case, this paper proposes a representation in which the convergence of a resolution of the identity can be more easily tested. The representation is valid for any finite number of coupled channels for inelastic scattering without rearrangement.
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"abstract": "The Complex Scaling Method (CSM) provides scattering wave functions which\nregularize resonances and suggest a resolution of the identity in terms of such\nresonances, completed by the bound states and a smoothed continuum. But, in the\ncase of inelastic scattering with many channels, the existence of such a\nresolution under complex scaling is still debated. Taking advantage of results\nobtained earlier for the two channel case, this paper proposes a representation\nin which the convergence of a resolution of the identity can be more easily\ntested. The representation is valid for any finite number of coupled channels\nfor inelastic scattering without rearrangement.",
"arxiv_id": "nucl-th/0503049",
"authors": [
"B. G. Giraud",
"K. Kato",
"A. Ohnishi"
],
"categories": [
"nucl-th",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/37/48/004",
"journal_ref": "J.Phys.A37:11575,2004",
"title": "Complex Scaled Spectrum Completeness for Coupled Channels",
"url": "https://arxiv.org/abs/nucl-th/0503049"
},
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