Dispersion Estimates for Spherical Schrödinger Equations with Critical Angular Momentum

Abstract

We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators where the angular momentum takes the critical value $l=-\frac{1}{2}$. We also derive several new estimates for solutions of the underlying differential equation and investigate the behavior of the Jost function near the edge of the continuous spectrum.

23 pages. arXiv admin note: text overlap with arXiv:1504.03015

References in corpus (4)

• Dispersive estimates for Schrodinger operators in dimensions one and three
• On the Singular Weyl-Titchmarsh Function of Perturbed Spherical Schroedinger Operators
• Inverse Eigenvalue Problems for Perturbed Spherical Schroedinger Operators
• Dispersion Estimates for One-Dimensional Schrödinger Equations with Singular Potentials

Cited by in corpus (2)

• A transmutation operator method for solving the inverse quantum scattering problem
• Transformation operators for spherical Schrödinger operators