Figari, Rodolfo (2010) Perturbations of eigenvalues embedded at threshold: I. One- and three-dimensional solvable models. [Pubblicazione in rivista scientifica]
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Original publication URL: http://iopscience.iop.org/1751-8121/43/47/474009
Item Type: | Pubblicazione in rivista scientifica | ||||
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Title: | Perturbations of eigenvalues embedded at threshold: I. One- and three-dimensional solvable models | ||||
Creators: |
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Autore/i: | Cacciapuoti, Claudio ; Carlone, Raffaele | ||||
Date: | 2010 | ||||
Number of Pages: | 16 | ||||
Department: | Scienze fisiche | ||||
Sezione di dipartimento: | UNITA | ||||
Identification Number: | 10.1088/1751-8113/43/47/474009 | ||||
Original publication URL: | http://iopscience.iop.org/1751-8121/43/47/474009 | ||||
Journal or Publication Title: | Journal of Physics A-Mathematical and Theoretical | ||||
Date: | 2010 | ||||
ISSN: | 1751-8121 | ||||
Volume: | 43 | ||||
Number: | 47 | ||||
Number of Pages: | 16 | ||||
Identification Number: | 10.1088/1751-8113/43/47/474009 | ||||
Settori scientifico-disciplinari del MIUR: | Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Area 01 - Scienze matematiche e informatiche > MAT/07 - Fisica matematica |
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Additional information: | File pdf disponibile solo per gli autorizzati (vedi pulsante SFX/SIRE). Versione preprint in Arxiv (<http://arxiv.org/PS_cache/arxiv/pdf/1006/1006.1372v1.pdf>) | ||||
Date Deposited: | 07 Dec 2010 09:56 | ||||
Last Modified: | 30 Apr 2014 19:43 | ||||
URI: | http://www.fedoa.unina.it/id/eprint/7876 |
Collection description
We examine perturbations of eigenvalues and resonances for a class of multi-channel quantum mechanical model Hamiltonians describing a particle interacting with a localized spin in dimension d = 1, 3. We consider unperturbed Hamiltonians showing eigenvalues and resonances at the threshold of the continuous spectrum and we analyze the effect of various types of perturbations on the spectral singularities. We provide algorithms to obtain convergent series expansions for the coordinates of the singularities.
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