ON THE “WEIGHTED” SCHRODINGER ¨ OPERATOR WITH POINT δ-INTERACTIONS

Abstract

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

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

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