Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter

Namig Guliyev (1)

1 Institute of Mathematics and Mechanics

We study various direct and inverse spectral problems for the one-dimensional Schrödinger equation with distributional potential and boundary conditions containing the eigenvalue parameter.

Mots clés: boundary conditions dependent on the eigenvalue parameter; Sturm–Liouville operator; distributional potential; inverse problems; one-dimensional Schrödinger equation; asymptotics; Darboux transformation; oscillation; singular potential

Domaines: Physique mathématique [math-ph]; Théorie spectrale [math.SP]; Analyse fonctionnelle [math.FA]; Analyse classique [math.CA]

Namig Guliyev. Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter. Journal of Mathematical Physics, 2019, 60 (6), pp.063501. ⟨10.1063/1.5048692⟩. ⟨hal-01824209⟩