Complex extension of potentials and trajectories of poles of the S-matrix element in the complex momentum plane

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dc.creatorKawasaki, M.
dc.creatorMaehara, T.
dc.creatorYonezawa, M.
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:08Z
dc.date.available2026-07-07T10:14:08Z
dc.descriptionSearching for infrastructure of the quantum mechanical system, we study trajectories of the s-wave poles of the S-matrix element with respect to a real phase $α$ in the complex momentum plane for a complex extension of real potentials by a phase factor $e^{iα}$. This complex extension relates the pole spectrum of the physical system with a potential to the spectrum of another system with the potential of the same shape but of opposite sign. There appear trajectories with the periodicity of $2π$, $4π$, and $\infty$. The appearance of non-recurrent behavior of the trajectory for the change of phase $Δα=2π$ is clearly related with the existence of resonance poles for real repulsive potentials. Dynamical changes of trajectory structure are examined.
dc.description10 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0810.5422
dc.identifierhttp://arxiv.org/abs/0810.5422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172775
dc.subjectQuantum Physics
dc.titleComplex extension of potentials and trajectories of poles of the S-matrix element in the complex momentum plane
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