Jordan blocks and Gamow-Jordan eigenfunctions associated to a double pole of the S-matrix

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dc.creatorHernandez, E.
dc.creatorJauregui, A.
dc.creatorMondragon, A.
dc.date2002-04-15
dc.date.accessioned2026-07-07T12:37:46Z
dc.date.available2026-07-07T12:37:46Z
dc.descriptionAn accidental degeneracy of resonances gives rise to a double pole in the scattering matrix, a double zero in the Jost function and a Jordan chain of length two of generalized Gamow-Jordan eigenfunctions of the radial Schroedinger equation. The generalized Gamow-Jordan eigenfunctions are basis elements of an expansion in bound and resonant energy eigenfunctions plus a continuum of scattering wave functions of complex wave number. In this biorthonormal basis, any operator which is a regular function of the Hamiltonian is represented by a complex matrix which is diagonal except for a Jordan block of rank two. The occurrence of a double pole in the Green's function, as well as the non-exponential time evolution of the Gamow-Jordan generalized eigenfunctions are associated to the Jordan block in the complex energy representation.
dc.descriptionLatex, 21 pages, 1 embedded eps figure, packages amsmath, graphicx
dc.identifierhttps://arxiv.org/abs/quant-ph/0204084
dc.identifierhttp://arxiv.org/abs/quant-ph/0204084
dc.identifierPhys.Rev.A67:022721,2003
dc.identifierdoi:10.1103/PhysRevA.67.022721
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218557
dc.subjectQuantum Physics
dc.titleJordan blocks and Gamow-Jordan eigenfunctions associated to a double pole of the S-matrix
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