Dispersion Estimates for Spherical Schr\"odinger Equations with Critical Angular Momentum
classification
🧮 math.SP
math-phmath.APmath.MP
keywords
angularcriticalderivedispersionestimatesmomentumodingerschr
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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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