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.
Spectral analysis, spectral singularities, bound states, Schrödinger operators, point interaction
"Bound states and spectral singularities of an impulsive Schrödinger equation,"
Turkish Journal of Mathematics: Vol. 42:
4, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/9