On the `Weighted` Schrödinger Operator with Point d-Interactions

Authors : Manaf Dzh MANAFOV

Pages : 743-749

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Publication Date : 2012-05-01

Article Type : Research Paper

Abstract :The number of negative eigenvalues of the “weighted” Schr¨odinger operator with point δ-interactions are found and by means of the Floquet theory, stability or instability of the solutions to periodic “weighted” equations with δ-interactions are determined.
Keywords : Weighted Schr¨odinger operator, Point δ interactions, Negative eigenvalues, 2000 AMS Classification 47 A 10