Bound states and spectral singularities of an impulsive Schrödinger equation
- Resource Type
- Authors
- Emel Yildirim
- Source
- Volume: 42, Issue: 4 1670-1679
Turkish Journal of Mathematics
- Subject
- symbols.namesake
General Mathematics
Bound state
symbols
Gravitational singularity
Spectral analysis,spectral singularities,bound states,Schrödinger operators,point interaction
Mathematical physics
Mathematics
Schrödinger equation
- Language
- ISSN
- 1303-6149
1300-0098
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.