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arXiv · 1611.05210

Dispersion Estimates for Spherical Schr\"odinger Equations with Critical Angular Momentum

Markus Holzleitner·Aleksey Kostenko·Gerald Teschl
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Abstract

We derive a dispersion estimate for one-dimensional perturbed radial Schr\"odinger 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.

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Markus Holzleitner, Aleksey Kostenko, Gerald Teschl. 2016-11-16. Dispersion Estimates for Spherical Schr\"odinger Equations with Critical Angular Momentum. https://doi.org/10.4171/186-1%2F14

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