dorsal/arxiv
View SchemaRepresentations for Three-Body T-Matrix on Unphysical Sheets
| Authors | A. K. Motovilov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9505028 |
| URL | https://arxiv.org/abs/nucl-th/9505028 |
| DOI | 10.1007/BF02070386 |
| Journal | Theor. Math. Phys. 107 (1996) 784-806; Teor. Mat. Fiz. 107:3 (1996) 450-477 |
Abstract
Explicit representations are formulated for the Faddeev components of three-body T-matrix continued analytically on unphysical sheets of the energy Riemann surface. According to the representations, the T-matrix on unphysical sheets is obviously expressed in terms of its components taken on the physical sheet only. The representations for T-matrix are used then to construct similar representations for analytical continuation of three-body scattering matrices and resolvent. Domains on unphysical sheets are described where the representations obtained can be applied.
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"abstract": "Explicit representations are formulated for the Faddeev components of\nthree-body T-matrix continued analytically on unphysical sheets of the energy\nRiemann surface. According to the representations, the T-matrix on unphysical\nsheets is obviously expressed in terms of its components taken on the physical\nsheet only. The representations for T-matrix are used then to construct similar\nrepresentations for analytical continuation of three-body scattering matrices\nand resolvent. Domains on unphysical sheets are described where the\nrepresentations obtained can be applied.",
"arxiv_id": "nucl-th/9505028",
"authors": [
"A. K. Motovilov"
],
"categories": [
"nucl-th",
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"math.FA"
],
"doi": "10.1007/BF02070386",
"journal_ref": "Theor. Math. Phys. 107 (1996) 784-806; Teor. Mat. Fiz. 107:3\n (1996) 450-477",
"title": "Representations for Three-Body T-Matrix on Unphysical Sheets",
"url": "https://arxiv.org/abs/nucl-th/9505028"
},
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