Mutual transformation among bound, virtual and resonance states in one-dimensional rectangular potentials

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dc.creatorKawasaki, M.
dc.creatorMaehara, T.
dc.creatorYonezawa, M.
dc.date2008-10-19
dc.date.accessioned2026-07-07T10:11:34Z
dc.date.available2026-07-07T10:11:34Z
dc.descriptionA detailed analysis has been made by R.Zavin and N.Moiseyev(2004 J. Phys. A: Math, Gen, \textbf{37} 4619) for the change of bound states into resonance states via coalescence of virtual states in a one-dimensional symmetric rectangular attractive potential as it becomes shallow, with convergent wave functions of virtual and resonance states by the complex scaling method. As a complement to such an analysis, we discuss some global features of the pole spectrum of the S-matrix by using a complex extension of the real potential $V^{(\mathrm{real})}$ to $e^{iα}V^{(\mathrm{real})}$ with a real phase $α$. We show the structures of trajectories of poles developed for the change of $α$ in the complex momentum plane, which is useful to understand the mutual transformation among the bound, virtual and resonance states.
dc.description12 pages, 2 Fig's (each has 6 figures)
dc.identifierhttps://arxiv.org/abs/0810.3368
dc.identifierhttp://arxiv.org/abs/0810.3368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171903
dc.subjectQuantum Physics
dc.titleMutual transformation among bound, virtual and resonance states in one-dimensional rectangular potentials
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