Gamow-Siegert functions and Darboux-deformed short range potentials

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dc.creatorFernandez-Garcia, Nicolas
dc.creatorRosas-Ortiz, Oscar
dc.date2008-10-31
dc.date.accessioned2026-07-07T10:14:31Z
dc.date.available2026-07-07T10:14:31Z
dc.descriptionDarboux-deformations of short range one-dimensional potentials are constructed by means of Gamow-Siegert functions (resonance states). Results include both Hermitian and non-Hermitian short range potentials which are exactly solvable. As illustration, the method is applied to square wells and barriers for which the transmission coefficient is a superposition of Fock-Breit-Wigner distributions. Resonance levels are calculated in the long lifetime limit by means of analytical and numerical approaches. The new complex potentials behave as an optical device which both refracts and absorbs light waves.
dc.description20 pages, 15 figures, LaTeX file
dc.identifierhttps://arxiv.org/abs/0810.5597
dc.identifierhttp://arxiv.org/abs/0810.5597
dc.identifierAnnals of Physics 323 (2008) 1397-1414
dc.identifierdoi:10.1016/j.aop.2007.11.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172907
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleGamow-Siegert functions and Darboux-deformed short range potentials
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