Some Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics

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dc.creatorCheon, Taksu
dc.creatorShigehara, T.
dc.date1998-08-20
dc.date1998-08-31
dc.date.accessioned2026-07-07T06:15:34Z
dc.date.available2026-07-07T06:15:34Z
dc.descriptionWe construct a one-dimensional contact interaction ($ε$ potential) which induces the discontinuity of the wave function while keeping its derivative continuous. By combining the $ε$ potential and the Dirac's $δ$ function, we construct most general one-dimensional contact interactions allowable under the time reversal symmetry. We present some elementary results for the scattering problem which suggest a dual relation between $δ$ and $ε$ potentials.
dc.descriptionTalk presented at The 7th International Conference on Mathematical Results in Quantum Mechanics (Qmath7), June 22-26, 1998, Prague, Czechland
dc.identifierhttps://arxiv.org/abs/quant-ph/9808034
dc.identifierhttp://arxiv.org/abs/quant-ph/9808034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93792
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subjectNuclear Theory
dc.titleSome Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics
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