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Your search keyword '"Emel Yildirim"' showing total 2 results
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2 results on '"Emel Yildirim"'

1. Green function and resolvent operator of a Schrödinger equation with general point interaction

Author

Emel Yildirim

Subjects
Mathematics, Applied, Complex valued, General Medicine, Function (mathematics), Schrödinger equation, symbols.namesake, Matematik, Uygulamalı, Resolvent operator, symbols, Green function,resolvent operator,Schrödinger operators,point interaction, Point (geometry), Resolvent, Mathematical physics, Mathematics
Abstract

In this paper, we investigate the time independent Schrodinger equation which has complex valued potential function under the general point interaction. We construct Green function of this problem and we find the resolvent of the problem in terms of Green function.

Published
2020
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2. Bound states and spectral singularities of an impulsive Schrödinger equation

Author

Emel Yildirim

Subjects
symbols.namesake, General Mathematics, Bound state, symbols, Gravitational singularity, Spectral analysis,spectral singularities,bound states,Schrödinger operators,point interaction, Mathematical physics, Mathematics, Schrödinger equation
Abstract

In this paper, we study the analytical properties of the Jost function of an impulsive Schrödinger equation. We also investigate the bound states and spectral singularities of this equation. We present some conditions on the potential function that guarantee that the impulsive Schrödinger equation has a finite number of bound states and spectral singularities with finite multiplicities.

Published
2018
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