1-dimensional Schrodinger operators with complex potentials

Abstract

We discuss 1-dimensional Schrodinger operators with complex and locally integrable potentials that may have an arbitrary behavior at (finite or infinite) endpoints. The main tool of our analysis are Green's operators, that is, their various right inverses.

References in corpus (4)

• On Schroedinger operators with inverse square potentials on the half-line
• An Evolution Equation Approach to the Klein-Gordon Operator on Curved Spacetime
• On radial Schroedinger operators with a Coulomb potential
• Homogeneous rank one perturbations

Cited by in corpus (5)

• On the domains of Bessel operators
• Propagators in curved spacetimes from operator theory
• The generalized Lyapunov exponent for the one-dimensional Schrödinger equation with Cauchy disorder: some exact results
• Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension
• Exactly solvable Schrödinger operators related to the confluent equation