Generalized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics

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dc.creatorShigehara, T.
dc.creatorMizoguchi, H.
dc.creatorMishima, T.
dc.creatorCheon, Taksu
dc.date1999-11-13
dc.date.accessioned2026-07-07T06:17:12Z
dc.date.available2026-07-07T06:17:12Z
dc.descriptionWe first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring $δ$ functions. We also discuss the problem within relativistic (Dirac) framework and give the solution for a three parameter family. It gives a physical interpretation for so-called $ε$ potential. It will be also shown that the scattering properties at high energy substantially differ between non-relativistic and relativistic cases.
dc.descriptionLaTeX 4 Pages, Talk to be presented at The 1999 International Symposium on Nonlinear Theory and Its Applications (NOLTA99) Hilton Waikoloa Village, Hawaii, USA, Nov 28 - Dec 2, 1999
dc.identifierhttps://arxiv.org/abs/quant-ph/9911059
dc.identifierhttp://arxiv.org/abs/quant-ph/9911059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94320
dc.subjectQuantum Physics
dc.titleGeneralized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics
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