Dispersion Estimates for Spherical Schrödinger Equations

We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. 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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Bibliographic Details
Published in:	Annales Henri Poincaré Vol. 17; no. 11; pp. 3147 - 3176
Main Authors:	Kostenko, Aleksey, Teschl, Gerald, Toloza, Julio H.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-11-2016 Springer Nature B.V
Subjects:	Classical and Quantum Gravitation Differential equations Dispersion Dynamical Systems and Ergodic Theory Elementary Particles Estimates Mathematical and Computational Physics Mathematical Methods in Physics Operators (mathematics) Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Schrodinger equation Theoretical Hankel Function Dispersion Estimate Half Plane Nevanlinna Function Transformation Operator
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Description
Summary:	We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators. 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.
ISSN:	1424-0637 1424-0661
DOI:	10.1007/s00023-016-0474-9