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On the Number of Negative Eigenvalues of a One-Dimensional Schrödinger Operator with Point Interactions
Authors:Albeverio  Sergio  Nizhnik  Leonid
Affiliation:(1) Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53 115, Bonn 1, SFB 611;(2) BiBoS, Bielefeld; IZKS; CERFIM, Locarno, Accademia di Architettura, Mendrisio;(3) Institute of Mathematics, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
Abstract:An effective algorithm is provided for determining the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions in terms of the intensities and the distances between the interactions.
Keywords:continued fractions  negative eigenvalues  number of negative eigenvalues  point interactions  Schrö  dinger operators
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