Spectral Properties of the Two-Dimensional Laplacian with a Finite Number of Point Interactions

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dc.creatorShigehara, T.
dc.creatorMizoguchi, H.
dc.creatorMishima, T.
dc.creatorCheon, Taksu
dc.date1997-10-01
dc.date.accessioned2026-07-07T06:14:25Z
dc.date.available2026-07-07T06:14:25Z
dc.descriptionWe discuss spectral properties of the Laplacian with multiple ($N$) point interactions in two-dimensional bounded regions. A mathematically sound formulation for the problem is given within the framework of the self-adjoint extension of a symmetric (Hermitian) operator in functional analysis. The eigenvalues of this system are obtained as the poles of a transition matrix which has size $N$. Closely examining a generic behavior of the eigenvalues of the transition matrix as a function of the energy, we deduce the general condition under which point interactions have a substantial effect on statistical properties of the spectrum.
dc.descriptionManuscript for Proceedings of The 8th International Colloquium on Differential Equations Plovdiv, Bulgaria, 18-23 August, 1997
dc.identifierhttps://arxiv.org/abs/quant-ph/9710005
dc.identifierhttp://arxiv.org/abs/quant-ph/9710005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93456
dc.subjectQuantum Physics
dc.subjectChaotic Dynamics
dc.subjectCondensed Matter
dc.subjectNuclear Theory
dc.titleSpectral Properties of the Two-Dimensional Laplacian with a Finite Number of Point Interactions
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