| dc.creator | Hislop, Peter D. | |
| dc.date | 2012-10-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1328 | |
| dc.identifier | 10.4067/S0719-06462012000300001 | |
| dc.description | We present the basics of two-body quantum-mechanical scattering theory and the theory of quantum resonances. The wave operators and S-matrix are constructed for smooth, compactly-supported potential perturbations of the Laplacian. The meromorphic continuation of the cut-off resolvent is proved for the same family of Schrödinger operators. Quantum resonances are defined as the poles of the meromorphic continuation of the cut-off resolvent. These are shown to be the same as the poles of the meromorphically continued S-matrix. The basic problems of the existence of resonances and estimates on the resonance counting function are described and recent results are presented. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1328/1183 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal; 01–39 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 14 Núm. 3 (2012): CUBO, A Mathematical Journal; 01–39 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Scattering theory | en-US |
| dc.subject | resonances | en-US |
| dc.subject | Schr¨odinger equation | en-US |
| dc.subject | wave operators | en-US |
| dc.subject | quantum mechanics | en-US |
| dc.title | Fundamentals of scattering theory and resonances in quantum mechanics | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
